From 452501467e1e1aaabb32e0ce5287769f52d75c8c Mon Sep 17 00:00:00 2001 From: chk <79915315+ChKendel@users.noreply.github.com> Date: Sat, 30 May 2026 07:52:59 +0200 Subject: [PATCH] weitere Analysen --- ...py => 3_multiview_bundle_adjustment_v1.py} | 0 pipeline/3_multiview_bundle_adjustment_v3.py | 1466 ++ pipeline/3_multiview_bundle_adjustment_v4.py | 1462 ++ pipeline/4_robotState_estimation_seq.py | 1182 ++ pipeline/4_robotState_estimation_v5.py | 1330 ++ pipeline/4_robotState_estimation_v6.py | 1217 ++ pipeline/9_poseEvaluation.py | 73 + pipeline/aruco_positions_initial.json | 6 +- pipeline/aruco_positions_optimized.json | 102 +- .../aruco_positions_optimized_Set1_v1.json | 95 + .../aruco_positions_optimized_Set1_v3.json | 95 + .../aruco_positions_optimized_Set1_v4.json | 95 + .../aruco_positions_optimized_Set3_v1.json | 123 + .../aruco_positions_optimized_Set3_v2.json | 123 + .../aruco_positions_optimized_Set3_v3.json | 123 + ...ons_optimized_Set3_v3_ohneConstraints.json | 123 + .../aruco_positions_optimized_Set3_v4.json | 123 + pipeline/arucos_state.json | 1593 +++ pipeline/arucos_state_set3.json | 799 ++ pipeline/render_1a.png | Bin 0 -> 1336022 bytes pipeline/render_1a_aruco_detection.json | 11244 ++++++++++++++++ pipeline/render_1a_camera_pose.json | 322 + pipeline/render_1b.png | Bin 0 -> 1150207 bytes pipeline/render_1b_aruco_detection.json | 6741 +++++++++ pipeline/render_1c.png | Bin 0 -> 1312580 bytes pipeline/render_1c_aruco_detection.json | 8904 ++++++++++++ pipeline/render_1d.png | Bin 0 -> 1112489 bytes pipeline/render_1d_aruco_detection.json | 2316 ++++ pipeline/render_1d_camera_pose.json | 263 + pipeline/render_3a_aruco_detection.json | 22 +- pipeline/render_3a_camera_pose.json | 2 +- pipeline/render_3b_aruco_detection.json | 20 +- pipeline/render_3b_camera_pose.json | 2 +- pipeline/render_3c_aruco_detection.json | 24 +- pipeline/render_3c_camera_pose.json | 2 +- .../render_3positinSet.json | 0 pipeline/run_pipeline_3.bat | 10 - pipeline/run_pipeline_multiview.bat | 14 +- robot.json | 45 +- runLoop.py | 104 + 40 files changed, 40057 insertions(+), 108 deletions(-) rename pipeline/{3_multiview_bundle_adjustment.py => 3_multiview_bundle_adjustment_v1.py} (100%) create mode 100644 pipeline/3_multiview_bundle_adjustment_v3.py create mode 100644 pipeline/3_multiview_bundle_adjustment_v4.py create mode 100644 pipeline/4_robotState_estimation_seq.py create mode 100644 pipeline/4_robotState_estimation_v5.py create mode 100644 pipeline/4_robotState_estimation_v6.py create mode 100644 pipeline/9_poseEvaluation.py create mode 100644 pipeline/aruco_positions_optimized_Set1_v1.json create mode 100644 pipeline/aruco_positions_optimized_Set1_v3.json create mode 100644 pipeline/aruco_positions_optimized_Set1_v4.json create mode 100644 pipeline/aruco_positions_optimized_Set3_v1.json create mode 100644 pipeline/aruco_positions_optimized_Set3_v2.json create mode 100644 pipeline/aruco_positions_optimized_Set3_v3.json create mode 100644 pipeline/aruco_positions_optimized_Set3_v3_ohneConstraints.json create mode 100644 pipeline/aruco_positions_optimized_Set3_v4.json create mode 100644 pipeline/arucos_state.json create mode 100644 pipeline/arucos_state_set3.json create mode 100644 pipeline/render_1a.png create mode 100644 pipeline/render_1a_aruco_detection.json create mode 100644 pipeline/render_1a_camera_pose.json create mode 100644 pipeline/render_1b.png create mode 100644 pipeline/render_1b_aruco_detection.json create mode 100644 pipeline/render_1c.png create mode 100644 pipeline/render_1c_aruco_detection.json create mode 100644 pipeline/render_1d.png create mode 100644 pipeline/render_1d_aruco_detection.json create mode 100644 pipeline/render_1d_camera_pose.json rename markers.json => pipeline/render_3positinSet.json (100%) delete mode 100644 pipeline/run_pipeline_3.bat create mode 100644 runLoop.py diff --git a/pipeline/3_multiview_bundle_adjustment.py b/pipeline/3_multiview_bundle_adjustment_v1.py similarity index 100% rename from pipeline/3_multiview_bundle_adjustment.py rename to pipeline/3_multiview_bundle_adjustment_v1.py diff --git a/pipeline/3_multiview_bundle_adjustment_v3.py b/pipeline/3_multiview_bundle_adjustment_v3.py new file mode 100644 index 0000000..7376326 --- /dev/null +++ b/pipeline/3_multiview_bundle_adjustment_v3.py @@ -0,0 +1,1466 @@ +#!/usr/bin/env python3 +""" +3_multiview_bundle_adjustment_v3.py + +Multi-view ArUco marker position optimization with rule-based geometric constraints. + +Mathematical model +------------------ +We estimate 3D marker positions X_i ∈ R^3 by minimizing a weighted least-squares objective + + E(X) = Σ_i Σ_c w_ic || π_c(X_i) - u_ic ||^2 + + λ_d Σ_j w_j^d || g_j^d(X) ||^2 + + λ_a Σ_k w_k^a || g_k^a(X) ||^2 + +where: +- u_ic are observed normalized image coordinates of marker i in camera c +- π_c(.) is the normalized reprojection model for camera c +- w_ic are observation weights (quality-based) +- g_j^d are rigid-link distance constraints +- g_k^a are joint-axis / chain-axis projection constraints + +Important design choices: +- robot.json is used as a kinematic description, not as a direct source of marker positions. +- constraint families are explicit and switchable. +- marker observation weights are based on available measurement quality cues + (e.g. detection confidence, observed pixel size if present, marker size prior, + and initial range from the camera); orientation information is treated cautiously. +- optimization is single-stage in this version to keep comparisons reproducible. + If a second refinement stage is needed later, it can be added as a separate version. + +Dependencies: + numpy, opencv-python, scipy (optional for optimization) + +Example: + python 3_multiview_bundle_adjustment_v3.py ^ + -det cam1_aruco_detection.json cam2_aruco_detection.json cam3_aruco_detection.json ^ + -pose cam1_camera_pose.json cam2_camera_pose.json cam3_camera_pose.json ^ + -robot robot.json ^ + -lambdaWeight 100.0 +""" + +from __future__ import annotations + +import argparse +import json +import os +import sys +import time +from dataclasses import dataclass +from itertools import combinations +from typing import Any, Dict, List, Optional, Tuple + +import cv2 +import numpy as np + + +# =================================================================== +# Path / JSON helpers +# =================================================================== + +def resolve_path(path: str) -> str: + path = os.path.expanduser(path) + if os.path.isabs(path): + return path + return os.path.abspath(path) + + +def load_json(path: str) -> Dict[str, Any]: + with open(resolve_path(path), "r", encoding="utf-8") as f: + return json.load(f) + + +def save_json(path: str, data: Dict[str, Any]) -> None: + with open(resolve_path(path), "w", encoding="utf-8") as f: + json.dump(data, f, indent=2) + + +# =================================================================== +# Units +# =================================================================== + +def get_length_scale(robot_data: Dict[str, Any]) -> float: + units = robot_data.get("units", {}) or {} + length_unit = str(units.get("length", "")).strip().lower() + if length_unit in ("mm", "millimeter", "millimeters"): + return 1.0 / 1000.0 + if length_unit in ("cm", "centimeter", "centimeters"): + return 1.0 / 100.0 + return 1.0 + + +# =================================================================== +# Small geometry helpers +# =================================================================== + +def safe_norm(v: np.ndarray, eps: float = 1e-12) -> float: + return float(np.linalg.norm(v) + eps) + + +def normalize_vector(v: np.ndarray, eps: float = 1e-12) -> np.ndarray: + return np.asarray(v, dtype=np.float64) / safe_norm(v, eps) + + +def clamp(v: float, lo: float, hi: float) -> float: + return float(max(lo, min(hi, v))) + + +def principal_axis_id(axis: np.ndarray, threshold: float = 0.95) -> Optional[int]: + """Return 0,1,2 for x,y,z if axis is close enough to a principal axis.""" + a = normalize_vector(np.asarray(axis, dtype=np.float64)) + idx = int(np.argmax(np.abs(a))) + if abs(a[idx]) >= threshold: + return idx + return None + + +def camera_center_from_world_to_cam(R_wc: np.ndarray, t_wc: np.ndarray) -> np.ndarray: + """world_to_camera: X_cam = R_wc * X_world + t_wc; camera center is -R^T t.""" + return -R_wc.T @ t_wc + + +def principal_axis_vector(axis: np.ndarray) -> np.ndarray: + """Convert a near-principal axis to an exact signed principal axis vector.""" + a = normalize_vector(axis) + idx = int(np.argmax(np.abs(a))) + out = np.zeros(3, dtype=np.float64) + out[idx] = 1.0 if a[idx] >= 0 else -1.0 + return normalize_vector(out) + + +# =================================================================== +# Configuration +# =================================================================== + +@dataclass +class ConstraintRuleConfig: + rigid_distance_enabled: bool = True + rigid_distance_mode: str = "mst" # mst | star | full + rigid_distance_weight: float = 1.0 + + joint_axis_enabled: bool = True + joint_axis_max_pairs: int = 2 + joint_axis_weight: float = 0.5 + + chain_axis_enabled: bool = True + chain_axis_max_depth: int = 3 + chain_axis_max_pairs: int = 2 + chain_axis_weight: float = 0.3 + + axis_alignment_threshold: float = 0.95 + + strict_unique_marker_ids: bool = False + show_skipped_constraints: bool = True + + enable_observation_weights: bool = True + weight_floor: float = 0.30 + weight_ceiling: float = 3.00 + ref_distance_m: float = 0.75 + ref_marker_size_px: float = 50.0 + use_detection_confidence: bool = True + use_detection_size_px: bool = True + use_initial_range: bool = True + use_marker_size_prior: bool = True + + +def _bool_or_default(value: Any, default: bool) -> bool: + if value is None: + return default + return bool(value) + + +def _float_or_default(value: Any, default: float) -> float: + if value is None: + return default + return float(value) + + +def _int_or_default(value: Any, default: int) -> int: + if value is None: + return default + return int(value) + + +def load_constraint_rule_config(robot_data: Dict[str, Any], args: argparse.Namespace) -> ConstraintRuleConfig: + rules = robot_data.get("constraint_rules", {}) or {} + + cfg = ConstraintRuleConfig() + rigid = rules.get("rigid_distance", {}) or {} + joint = rules.get("joint_axis_projection", {}) or {} + chain = rules.get("chain_axis_projection", {}) or {} + obs = rules.get("observation_weights", {}) or {} + + cfg.rigid_distance_enabled = _bool_or_default(rigid.get("enabled"), cfg.rigid_distance_enabled) + cfg.rigid_distance_mode = str(rigid.get("mode", cfg.rigid_distance_mode)).strip().lower() + cfg.rigid_distance_weight = _float_or_default(rigid.get("weight"), cfg.rigid_distance_weight) + + cfg.joint_axis_enabled = _bool_or_default(joint.get("enabled"), cfg.joint_axis_enabled) + cfg.joint_axis_max_pairs = _int_or_default(joint.get("max_pairs"), cfg.joint_axis_max_pairs) + cfg.joint_axis_weight = _float_or_default(joint.get("weight"), cfg.joint_axis_weight) + + cfg.chain_axis_enabled = _bool_or_default(chain.get("enabled"), cfg.chain_axis_enabled) + cfg.chain_axis_max_depth = _int_or_default(chain.get("max_depth"), cfg.chain_axis_max_depth) + cfg.chain_axis_max_pairs = _int_or_default(chain.get("max_pairs"), cfg.chain_axis_max_pairs) + cfg.chain_axis_weight = _float_or_default(chain.get("weight"), cfg.chain_axis_weight) + + cfg.axis_alignment_threshold = _float_or_default( + rules.get("axis_alignment_threshold"), cfg.axis_alignment_threshold + ) + + cfg.enable_observation_weights = _bool_or_default(obs.get("enabled"), cfg.enable_observation_weights) + cfg.weight_floor = _float_or_default(obs.get("weight_floor"), cfg.weight_floor) + cfg.weight_ceiling = _float_or_default(obs.get("weight_ceiling"), cfg.weight_ceiling) + cfg.ref_distance_m = _float_or_default(obs.get("ref_distance_m"), cfg.ref_distance_m) + cfg.ref_marker_size_px = _float_or_default(obs.get("ref_marker_size_px"), cfg.ref_marker_size_px) + cfg.use_detection_confidence = _bool_or_default(obs.get("use_detection_confidence"), cfg.use_detection_confidence) + cfg.use_detection_size_px = _bool_or_default(obs.get("use_detection_size_px"), cfg.use_detection_size_px) + cfg.use_initial_range = _bool_or_default(obs.get("use_initial_range"), cfg.use_initial_range) + cfg.use_marker_size_prior = _bool_or_default(obs.get("use_marker_size_prior"), cfg.use_marker_size_prior) + + if getattr(args, "strictUniqueMarkerIds", False): + cfg.strict_unique_marker_ids = True + if getattr(args, "showSkippedConstraints", False): + cfg.show_skipped_constraints = True + if getattr(args, "noShowSkippedConstraints", False): + cfg.show_skipped_constraints = False + + return cfg + + +# =================================================================== +# Observation / constraint definitions +# =================================================================== + +@dataclass +class Observation: + cam_idx: int + norm_coords: np.ndarray + meta: Dict[str, Any] + + +@dataclass +class MarkerDistanceConstraint: + marker_id_a: int + marker_id_b: int + link_name: str + target_distance_m: float + weight: float = 1.0 + enabled: bool = True + source: str = "rigid_distance" + + +@dataclass +class JointAxisConstraint: + marker_id_parent: int + marker_id_child: int + parent_link: str + child_link: str + joint_axis: np.ndarray + target_delta_along_axis_m: float + weight: float = 1.0 + enabled: bool = True + source: str = "joint_axis_projection" + + +Constraint = MarkerDistanceConstraint | JointAxisConstraint + + +# =================================================================== +# Robot parsing +# =================================================================== + +def parse_robot_markers( + robot_data: Dict[str, Any], + length_scale: float, + strict_unique_marker_ids: bool = False +) -> Tuple[Dict[int, str], Dict[str, List[Dict[str, Any]]], List[str], Dict[int, Dict[str, Any]]]: + links = robot_data.get("links", {}) or {} + + marker_to_link: Dict[int, str] = {} + link_markers: Dict[str, List[Dict[str, Any]]] = {} + issues: List[str] = [] + marker_meta: Dict[int, Dict[str, Any]] = {} + + seen_global: Dict[int, str] = {} + + for link_name, link_data in links.items(): + markers = link_data.get("markers", []) or [] + collected: List[Dict[str, Any]] = [] + seen_local: set[int] = set() + + for idx, marker in enumerate(markers): + marker_id = int(marker.get("id", -1)) + pos = marker.get("position", None) + + if marker_id < 0 or pos is None or len(pos) != 3: + issues.append(f"[WARN] link={link_name}: skipped invalid marker entry at index {idx}") + continue + + if marker_id in seen_local: + msg = f"[WARN] duplicate marker id {marker_id} inside link '{link_name}'" + if strict_unique_marker_ids: + raise ValueError(msg) + issues.append(msg + " -> skipped duplicate inside same link") + continue + + if marker_id in seen_global: + msg = ( + f"[WARN] duplicate marker id {marker_id} appears in link '{link_name}' " + f"and already in link '{seen_global[marker_id]}'" + ) + if strict_unique_marker_ids: + raise ValueError(msg) + issues.append(msg + " -> skipped duplicate occurrence") + continue + + seen_local.add(marker_id) + seen_global[marker_id] = link_name + + pos_raw = np.array(pos, dtype=np.float64) + pos_m = pos_raw * float(length_scale) + + item = { + "id": marker_id, + "name": marker.get("name", f"marker_{marker_id}"), + "position_raw": pos_raw, + "position_m": pos_m, + "normal": np.array(marker.get("normal", [0, 0, 1]), dtype=np.float64), + "size": marker.get("size", None), + "spin": marker.get("spin", None), + } + collected.append(item) + marker_to_link[marker_id] = link_name + marker_meta[marker_id] = { + "link_name": link_name, + "name": item["name"], + "position_m": pos_m, + "normal": item["normal"], + "size": item["size"], + "spin": item["spin"], + } + + link_markers[link_name] = collected + + return marker_to_link, link_markers, issues, marker_meta + + +def get_link_parent_map(robot_data: Dict[str, Any]) -> Dict[str, Optional[str]]: + links = robot_data.get("links", {}) or {} + return {link_name: (link_data.get("parent", None)) for link_name, link_data in links.items()} + + +def get_joint_info(robot_data: Dict[str, Any], child_link: str) -> Dict[str, Any]: + links = robot_data.get("links", {}) or {} + return (links.get(child_link, {}) or {}).get("jointToParent", {}) or {} + + +def get_joint_axis(robot_data: Dict[str, Any], child_link: str) -> Optional[np.ndarray]: + joint = get_joint_info(robot_data, child_link) + axis = joint.get("axis", None) + if axis is None: + return None + axis = np.asarray(axis, dtype=np.float64) + if safe_norm(axis) < 1e-12: + return None + return normalize_vector(axis) + + +def get_vision_marker_size_default(robot_data: Dict[str, Any]) -> float: + vision = robot_data.get("vision_config", {}) or {} + ms = vision.get("MarkerSize", None) + if ms is None: + return 0.025 + return float(ms) + + +# =================================================================== +# Constraint compilation helpers +# =================================================================== + +def get_enabled_link_rule( + robot_data: Dict[str, Any], + link_name: str, + rule_name: str, + default_enabled: bool = True +) -> bool: + overrides = robot_data.get("constraint_overrides", {}) or {} + link_override = overrides.get(link_name, {}) or {} + rule_override = link_override.get(rule_name, {}) or {} + if "enabled" in rule_override: + return bool(rule_override["enabled"]) + return default_enabled + + +def select_anchor_marker_ids( + markers: List[Dict[str, Any]], + axis: Optional[np.ndarray] = None, + max_count: int = 2 +) -> List[int]: + if not markers: + return [] + if len(markers) == 1: + return [int(markers[0]["id"])] + + ids = [int(m["id"]) for m in markers] + pos = np.stack([np.asarray(m["position_m"], dtype=np.float64) for m in markers], axis=0) + + selected: List[int] = [] + + if axis is not None and safe_norm(axis) > 1e-12: + a = normalize_vector(axis) + proj = pos @ a + min_idx = int(np.argmin(proj)) + max_idx = int(np.argmax(proj)) + selected = [ids[min_idx], ids[max_idx]] + else: + centroid = np.mean(pos, axis=0) + d = np.linalg.norm(pos - centroid, axis=1) + min_idx = int(np.argmin(d)) + max_idx = int(np.argmax(d)) + selected = [ids[min_idx], ids[max_idx]] + + if len(selected) < max_count: + for mid in ids: + if mid not in selected: + selected.append(mid) + if len(selected) >= max_count: + break + + out: List[int] = [] + seen: set[int] = set() + for mid in selected: + if mid not in seen: + seen.add(mid) + out.append(mid) + if len(out) >= max_count: + break + return out + + +def mst_edges_for_link(markers: List[Dict[str, Any]]) -> List[Tuple[int, int]]: + n = len(markers) + if n < 2: + return [] + + ids = [int(m["id"]) for m in markers] + pos = np.stack([np.asarray(m["position_m"], dtype=np.float64) for m in markers], axis=0) + in_tree = np.zeros(n, dtype=bool) + in_tree[0] = True + edges: List[Tuple[int, int]] = [] + dist = np.linalg.norm(pos[:, None, :] - pos[None, :, :], axis=2) + + for _ in range(n - 1): + best = None + best_d = float("inf") + for i in range(n): + if not in_tree[i]: + continue + for j in range(n): + if in_tree[j]: + continue + d = float(dist[i, j]) + if d < best_d: + best_d = d + best = (i, j) + if best is None: + break + i, j = best + in_tree[j] = True + edges.append((ids[i], ids[j])) + return edges + + +def compile_rigid_distance_constraints( + robot_data: Dict[str, Any], + link_markers: Dict[str, List[Dict[str, Any]]], + cfg: ConstraintRuleConfig +) -> List[MarkerDistanceConstraint]: + constraints: List[MarkerDistanceConstraint] = [] + + for link_name, markers in link_markers.items(): + if not get_enabled_link_rule(robot_data, link_name, "rigid_distance", cfg.rigid_distance_enabled): + continue + if len(markers) < 2: + continue + + mode = cfg.rigid_distance_mode + if mode == "full": + pairs = [(int(a["id"]), int(b["id"])) for a, b in combinations(markers, 2)] + elif mode == "star": + anchor_ids = select_anchor_marker_ids(markers, axis=None, max_count=1) + anchor_id = anchor_ids[0] + pairs = [] + for m in markers: + mid = int(m["id"]) + if mid != anchor_id: + pairs.append((anchor_id, mid)) + elif mode == "mst": + pairs = mst_edges_for_link(markers) + else: + raise ValueError(f"Unknown rigid_distance_mode='{mode}'. Use mst|star|full.") + + pos_map = {int(m["id"]): np.asarray(m["position_m"], dtype=np.float64) for m in markers} + seen_pairs: set[Tuple[int, int]] = set() + + for mid_a, mid_b in pairs: + if mid_a == mid_b: + continue + key = tuple(sorted((int(mid_a), int(mid_b)))) + if key in seen_pairs: + continue + seen_pairs.add(key) + + pos_a = pos_map[mid_a] + pos_b = pos_map[mid_b] + target = float(np.linalg.norm(pos_b - pos_a)) + + constraints.append( + MarkerDistanceConstraint( + marker_id_a=mid_a, + marker_id_b=mid_b, + link_name=link_name, + target_distance_m=target, + weight=cfg.rigid_distance_weight, + enabled=True, + source=f"rigid_distance:{mode}", + ) + ) + + return constraints + + +def compile_direct_joint_axis_constraints( + robot_data: Dict[str, Any], + link_markers: Dict[str, List[Dict[str, Any]]], + cfg: ConstraintRuleConfig +) -> List[JointAxisConstraint]: + constraints: List[JointAxisConstraint] = [] + links = robot_data.get("links", {}) or {} + + for child_link, child_data in links.items(): + parent_link = child_data.get("parent", None) + if not parent_link: + continue + + if not get_enabled_link_rule(robot_data, child_link, "joint_axis_projection", cfg.joint_axis_enabled): + continue + + joint_axis = get_joint_axis(robot_data, child_link) + if joint_axis is None: + continue + + axis_vec = principal_axis_vector(joint_axis) + + parent_markers = link_markers.get(parent_link, []) + child_markers = link_markers.get(child_link, []) + if len(parent_markers) == 0 or len(child_markers) == 0: + continue + + max_pairs = max(1, int(cfg.joint_axis_max_pairs)) + parent_anchor_ids = select_anchor_marker_ids(parent_markers, axis=axis_vec, max_count=max_pairs) + child_anchor_ids = select_anchor_marker_ids(child_markers, axis=axis_vec, max_count=max_pairs) + + parent_pos = {int(m["id"]): np.asarray(m["position_m"], dtype=np.float64) for m in parent_markers} + child_pos = {int(m["id"]): np.asarray(m["position_m"], dtype=np.float64) for m in child_markers} + + seen: set[Tuple[int, int]] = set() + for mid_p in parent_anchor_ids: + for mid_c in child_anchor_ids: + if mid_p == mid_c: + continue + key = (mid_p, mid_c) + if key in seen: + continue + seen.add(key) + + delta = child_pos[mid_c] - parent_pos[mid_p] + target = float(np.dot(delta, axis_vec)) + + constraints.append( + JointAxisConstraint( + marker_id_parent=mid_p, + marker_id_child=mid_c, + parent_link=parent_link, + child_link=child_link, + joint_axis=axis_vec, + target_delta_along_axis_m=target, + weight=cfg.joint_axis_weight, + enabled=True, + source="joint_axis_projection", + ) + ) + + return constraints + + +def ancestors_of(link_name: str, parent_map: Dict[str, Optional[str]], max_depth: int) -> List[str]: + out = [] + cur = parent_map.get(link_name, None) + depth = 0 + while cur is not None and depth < max_depth: + out.append(cur) + cur = parent_map.get(cur, None) + depth += 1 + return out + + +def path_axes_consistent( + robot_data: Dict[str, Any], + ancestor: str, + descendant: str, + parent_map: Dict[str, Optional[str]], + threshold: float +) -> Optional[np.ndarray]: + chain: List[str] = [] + cur = descendant + while cur is not None and cur != ancestor: + chain.append(cur) + cur = parent_map.get(cur, None) + + if cur != ancestor: + return None + + chain.reverse() + axes: List[np.ndarray] = [] + for link in chain: + ax = get_joint_axis(robot_data, link) + if ax is None: + return None + axes.append(ax) + + if not axes: + return None + + axis_ids: List[int] = [] + signs: List[float] = [] + for ax in axes: + aid = principal_axis_id(ax, threshold=threshold) + if aid is None: + return None + axis_ids.append(aid) + signs.append(float(np.sign(ax[aid])) if abs(ax[aid]) > 1e-12 else 1.0) + + if len(set(axis_ids)) != 1: + return None + + axis_id = axis_ids[0] + sign = 1.0 if np.sum(signs) >= 0 else -1.0 + axis_vec = np.zeros(3, dtype=np.float64) + axis_vec[axis_id] = sign + return normalize_vector(axis_vec) + + +def compile_chain_axis_constraints( + robot_data: Dict[str, Any], + link_markers: Dict[str, List[Dict[str, Any]]], + cfg: ConstraintRuleConfig +) -> List[JointAxisConstraint]: + constraints: List[JointAxisConstraint] = [] + parent_map = get_link_parent_map(robot_data) + + links_with_markers = [ln for ln, mk in link_markers.items() if len(mk) > 0] + max_depth = max(1, int(cfg.chain_axis_max_depth)) + max_pairs = max(1, int(cfg.chain_axis_max_pairs)) + + pos_cache: Dict[int, np.ndarray] = {} + for mk in link_markers.values(): + for m in mk: + pos_cache[int(m["id"])] = np.asarray(m["position_m"], dtype=np.float64) + + for descendant in links_with_markers: + if not get_enabled_link_rule(robot_data, descendant, "chain_axis_projection", cfg.chain_axis_enabled): + continue + + for ancestor in ancestors_of(descendant, parent_map, max_depth=max_depth): + if ancestor == descendant: + continue + + axis_vec = path_axes_consistent( + robot_data=robot_data, + ancestor=ancestor, + descendant=descendant, + parent_map=parent_map, + threshold=cfg.axis_alignment_threshold, + ) + if axis_vec is None: + continue + + ancestor_markers = link_markers.get(ancestor, []) + descendant_markers = link_markers.get(descendant, []) + if len(ancestor_markers) == 0 or len(descendant_markers) == 0: + continue + + anc_anchors = select_anchor_marker_ids(ancestor_markers, axis=axis_vec, max_count=max_pairs) + des_anchors = select_anchor_marker_ids(descendant_markers, axis=axis_vec, max_count=max_pairs) + + seen: set[Tuple[int, int]] = set() + for mid_a in anc_anchors: + for mid_b in des_anchors: + if mid_a == mid_b: + continue + key = (mid_a, mid_b) + if key in seen: + continue + seen.add(key) + + target = float(np.dot(pos_cache[mid_b] - pos_cache[mid_a], axis_vec)) + constraints.append( + JointAxisConstraint( + marker_id_parent=mid_a, + marker_id_child=mid_b, + parent_link=ancestor, + child_link=descendant, + joint_axis=axis_vec, + target_delta_along_axis_m=target, + weight=cfg.chain_axis_weight, + enabled=True, + source=f"chain_axis_projection:depth{len(ancestors_of(descendant, parent_map, max_depth))}", + ) + ) + + return constraints + + +def compile_constraints( + robot_data: Dict[str, Any], + length_scale: float, + cfg: ConstraintRuleConfig +) -> Tuple[Dict[int, str], Dict[str, List[Dict[str, Any]]], List[Constraint], List[str], Dict[int, Dict[str, Any]]]: + marker_to_link, link_markers, issues, marker_meta = parse_robot_markers( + robot_data, + length_scale=length_scale, + strict_unique_marker_ids=cfg.strict_unique_marker_ids, + ) + + constraints: List[Constraint] = [] + constraints.extend(compile_rigid_distance_constraints(robot_data, link_markers, cfg)) + constraints.extend(compile_direct_joint_axis_constraints(robot_data, link_markers, cfg)) + constraints.extend(compile_chain_axis_constraints(robot_data, link_markers, cfg)) + + unique_constraints: List[Constraint] = [] + seen_keys: set[Tuple[Any, ...]] = set() + + for c in constraints: + if isinstance(c, MarkerDistanceConstraint): + key = ( + "d", + min(c.marker_id_a, c.marker_id_b), + max(c.marker_id_a, c.marker_id_b), + c.link_name, + round(c.target_distance_m, 9), + ) + else: + key = ( + "j", + c.parent_link, + c.child_link, + c.marker_id_parent, + c.marker_id_child, + tuple(np.round(c.joint_axis, 9).tolist()), + round(c.target_delta_along_axis_m, 9), + ) + if key in seen_keys: + continue + seen_keys.add(key) + unique_constraints.append(c) + + return marker_to_link, link_markers, unique_constraints, issues, marker_meta + + +# =================================================================== +# Observation quality / weighting +# =================================================================== + +def _optional_float(meta: Dict[str, Any], keys: List[str]) -> Optional[float]: + for k in keys: + if k in meta and meta[k] is not None: + try: + return float(meta[k]) + except Exception: + pass + return None + + +def detection_quality_from_metadata(det_obj: Dict[str, Any], cfg: ConstraintRuleConfig) -> float: + q = 1.0 + + if cfg.use_detection_confidence: + conf = _optional_float(det_obj, ["confidence", "score", "quality", "det_confidence"]) + if conf is not None: + q *= clamp(conf, 0.1, 1.0) + + if cfg.use_detection_size_px: + size_px = _optional_float(det_obj, ["size_px", "marker_size_px", "side_px", "side_length_px"]) + if size_px is None and "corners_px" in det_obj and isinstance(det_obj["corners_px"], list): + try: + corners = np.asarray(det_obj["corners_px"], dtype=np.float64).reshape(-1, 2) + if len(corners) >= 4: + edges = [] + for i in range(len(corners)): + p = corners[i] + q2 = corners[(i + 1) % len(corners)] + edges.append(float(np.linalg.norm(q2 - p))) + size_px = float(np.mean(edges)) + except Exception: + size_px = None + if size_px is not None: + q *= clamp(size_px / max(cfg.ref_marker_size_px, 1e-6), 0.25, 3.0) + + sharpness = _optional_float(det_obj, ["sharpness", "corner_sharpness"]) + if sharpness is not None: + q *= clamp(sharpness / 2500.0, 0.5, 1.5) + + normal_alignment = _optional_float(det_obj, ["normal_alignment", "view_cosine", "cos_to_camera"]) + if normal_alignment is not None: + q *= clamp(normal_alignment, 0.3, 1.0) + + return float(q) + + +def marker_size_prior_factor(marker_meta: Dict[str, Any], default_marker_size_m: float) -> float: + size_val = marker_meta.get("size", None) + if size_val is None: + return 1.0 + + try: + size_val = float(size_val) + except Exception: + return 1.0 + + size_m = size_val / 1000.0 if size_val > 1.0 else size_val + ref = max(default_marker_size_m, 1e-6) + return clamp(size_m / ref, 0.7, 1.3) + + +def compute_observation_weights( + marker_observations: Dict[int, List[Observation]], + cameras: List[Tuple[np.ndarray, np.ndarray, np.ndarray, np.ndarray]], + initial_positions: Dict[int, np.ndarray], + marker_meta: Dict[int, Dict[str, Any]], + cfg: ConstraintRuleConfig, + robot_data: Dict[str, Any] +) -> Dict[Tuple[int, int], float]: + weights: Dict[Tuple[int, int], float] = {} + default_marker_size_m = get_vision_marker_size_default(robot_data) + + for marker_id, obs_list in marker_observations.items(): + X = initial_positions.get(marker_id, None) + size_prior = marker_size_prior_factor(marker_meta.get(marker_id, {}), default_marker_size_m) + + for obs_idx, obs in enumerate(obs_list): + w = 1.0 + q = detection_quality_from_metadata(obs.meta, cfg) + w *= q + + if cfg.use_marker_size_prior: + w *= size_prior + + if cfg.use_initial_range and X is not None: + _, _, R_wc, t_wc = cameras[obs.cam_idx] + C = camera_center_from_world_to_cam(R_wc, t_wc) + dist = float(np.linalg.norm(X - C)) + if np.isfinite(dist): + w *= clamp(cfg.ref_distance_m / max(dist, 1e-6), 0.4, 2.0) + + weights[(marker_id, obs_idx)] = clamp(w, cfg.weight_floor, cfg.weight_ceiling) + + return weights + + +# =================================================================== +# Multi-view loading +# =================================================================== + +def load_observations_and_poses( + detection_files: List[str], + pose_files: List[str] +) -> Tuple[ + Dict[int, List[Observation]], + List[Tuple[np.ndarray, np.ndarray, np.ndarray, np.ndarray]], + List[Dict[str, Any]] +]: + if len(detection_files) != len(pose_files): + raise ValueError(f"Mismatch: {len(detection_files)} detections vs {len(pose_files)} poses") + + marker_observations: Dict[int, List[Observation]] = {} + cameras: List[Tuple[np.ndarray, np.ndarray, np.ndarray, np.ndarray]] = [] + obs_metadata: List[Dict[str, Any]] = [] + + for cam_idx, (det_file, pose_file) in enumerate(zip(detection_files, pose_files)): + det = load_json(det_file) + pose_data = load_json(pose_file) + + cam_section = det.get("camera", {}) or {} + K = np.array(cam_section.get("camera_matrix", []), dtype=np.float64).reshape(3, 3) + D = np.array(cam_section.get("distortion_coefficients", []), dtype=np.float64).reshape(-1, 1) + + pose_section = pose_data.get("camera_pose", {}) or {} + world_to_cam = pose_section.get("world_to_camera", {}) or {} + R_wc = np.array(world_to_cam.get("rotation_matrix", []), dtype=np.float64).reshape(3, 3) + t_wc = np.array(world_to_cam.get("translation_m", []), dtype=np.float64).reshape(3) + + cameras.append((K, D, R_wc, t_wc)) + + detections = det.get("detections", []) or [] + for det_obj in detections: + marker_id = int(det_obj.get("marker_id", -1)) + if marker_id < 0: + continue + + center_px = np.array(det_obj.get("center_px", []), dtype=np.float64) + if center_px.shape != (2,): + continue + + pts = center_px.reshape(1, 1, 2).astype(np.float32) + und = cv2.undistortPoints(pts, K.astype(np.float32), D.astype(np.float32), P=None) + norm_coords = und.reshape(2).astype(np.float64) + + obs = Observation(cam_idx=cam_idx, norm_coords=norm_coords, meta=dict(det_obj)) + marker_observations.setdefault(marker_id, []).append(obs) + + obs_metadata.append( + { + "detection_file": det_file, + "pose_file": pose_file, + "num_detections": len(detections), + } + ) + + return marker_observations, cameras, obs_metadata + + +# =================================================================== +# Initial triangulation +# =================================================================== + +def triangulate_marker_initial( + marker_id: int, + observations: List[Observation], + cameras: List[Tuple[np.ndarray, np.ndarray, np.ndarray, np.ndarray]] +) -> Optional[np.ndarray]: + if len(observations) < 2: + return None + + best_pair = None + best_baseline = -1.0 + + for obs_i, obs_j in combinations(observations, 2): + cam_i, cam_j = obs_i.cam_idx, obs_j.cam_idx + _, _, R1, t1 = cameras[cam_i] + _, _, R2, t2 = cameras[cam_j] + c1 = camera_center_from_world_to_cam(R1, t1) + c2 = camera_center_from_world_to_cam(R2, t2) + baseline = float(np.linalg.norm(c2 - c1)) + if baseline > best_baseline: + best_baseline = baseline + best_pair = (obs_i, obs_j) + + if best_pair is None: + return None + + obs_i, obs_j = best_pair + cam_i, cam_j = obs_i.cam_idx, obs_j.cam_idx + norm_coords_i = obs_i.norm_coords + norm_coords_j = obs_j.norm_coords + + K1, D1, R1, t1 = cameras[cam_i] + K2, D2, R2, t2 = cameras[cam_j] + + x1_px = K1[0, 0] * norm_coords_i[0] + K1[0, 2] + y1_px = K1[1, 1] * norm_coords_i[1] + K1[1, 2] + x2_px = K2[0, 0] * norm_coords_j[0] + K2[0, 2] + y2_px = K2[1, 1] * norm_coords_j[1] + K2[1, 2] + + P1 = K1 @ np.hstack([R1, t1.reshape(3, 1)]) + P2 = K2 @ np.hstack([R2, t2.reshape(3, 1)]) + + try: + X_h = cv2.triangulatePoints( + P1, + P2, + np.array([[x1_px], [y1_px]], dtype=np.float64), + np.array([[x2_px], [y2_px]], dtype=np.float64), + ) + X = (X_h[:3] / X_h[3]).reshape(3).astype(np.float64) + if not np.all(np.isfinite(X)): + return None + return X + except Exception: + return None + + +def initial_triangulation( + marker_observations: Dict[int, List[Observation]], + cameras: List[Tuple[np.ndarray, np.ndarray, np.ndarray, np.ndarray]] +) -> Dict[int, np.ndarray]: + triangulated: Dict[int, np.ndarray] = {} + for marker_id, observations in marker_observations.items(): + X = triangulate_marker_initial(marker_id, observations, cameras) + if X is not None: + triangulated[marker_id] = X + return triangulated + + +# =================================================================== +# Weighted residuals / optimization +# =================================================================== + +def bundle_adjustment_residuals( + marker_positions_flat: np.ndarray, + marker_ids: List[int], + marker_observations: Dict[int, List[Observation]], + cameras: List[Tuple[np.ndarray, np.ndarray, np.ndarray, np.ndarray]], + constraints: List[Constraint], + obs_weights: Dict[Tuple[int, int], float], + lambda_constraint: float = 100.0 +) -> np.ndarray: + marker_dict: Dict[int, np.ndarray] = {} + for i, marker_id in enumerate(marker_ids): + marker_dict[marker_id] = marker_positions_flat[i * 3:(i + 1) * 3] + + residuals: List[float] = [] + + for marker_id, observations in marker_observations.items(): + if marker_id not in marker_dict: + continue + + X_world = marker_dict[marker_id] + for obs_idx, obs in enumerate(observations): + cam_idx, norm_coords_obs = obs.cam_idx, obs.norm_coords + K, D, R_wc, t_wc = cameras[cam_idx] + X_cam = R_wc @ X_world + t_wc + if X_cam[2] > 1e-6: + proj_norm = X_cam[:2] / X_cam[2] + r = proj_norm - norm_coords_obs + w = float(np.sqrt(obs_weights.get((marker_id, obs_idx), 1.0))) + residuals.append(w * float(r[0])) + residuals.append(w * float(r[1])) + + for constraint in constraints: + if isinstance(constraint, MarkerDistanceConstraint): + if constraint.marker_id_a in marker_dict and constraint.marker_id_b in marker_dict: + pos_a = marker_dict[constraint.marker_id_a] + pos_b = marker_dict[constraint.marker_id_b] + actual_dist = float(np.linalg.norm(pos_b - pos_a)) + residuals.append((actual_dist - constraint.target_distance_m) * constraint.weight * lambda_constraint) + + elif isinstance(constraint, JointAxisConstraint): + if constraint.marker_id_parent in marker_dict and constraint.marker_id_child in marker_dict: + pos_parent = marker_dict[constraint.marker_id_parent] + pos_child = marker_dict[constraint.marker_id_child] + delta = pos_child - pos_parent + actual_delta = float(np.dot(delta, constraint.joint_axis)) + residuals.append((actual_delta - constraint.target_delta_along_axis_m) * constraint.weight * lambda_constraint) + + return np.asarray(residuals, dtype=np.float64) + + +def optimize_with_constraints( + initial_positions: Dict[int, np.ndarray], + marker_observations: Dict[int, List[Observation]], + cameras: List[Tuple[np.ndarray, np.ndarray, np.ndarray, np.ndarray]], + constraints: List[Constraint], + obs_weights: Dict[Tuple[int, int], float], + lambda_constraint: float = 100.0, + max_iterations: int = 50 +) -> Dict[int, np.ndarray]: + try: + from scipy.optimize import least_squares + except ImportError: + print("[WARN] scipy not available, skipping optimization.") + return initial_positions + + marker_ids = sorted(initial_positions.keys()) + if not marker_ids: + return {} + + x0 = np.concatenate([initial_positions[mid] for mid in marker_ids]) + + def residuals_fn(x: np.ndarray) -> np.ndarray: + return bundle_adjustment_residuals( + x, marker_ids, marker_observations, cameras, constraints, obs_weights, lambda_constraint + ) + + print(f"[INFO] Starting optimization with {len(x0)} variables and {len(constraints)} constraints...") + + result = least_squares( + residuals_fn, + x0, + max_nfev=max_iterations * max(1, len(marker_ids)), + verbose=1, + ) + + optimized = {} + for i, marker_id in enumerate(marker_ids): + optimized[marker_id] = result.x[i * 3:(i + 1) * 3] + + print(f"[INFO] Optimization complete. Final cost: {float(np.sum(result.fun ** 2)):.6f}") + return optimized + + +# =================================================================== +# Reporting helpers +# =================================================================== + +def print_constraint_summary(constraints: List[Constraint]) -> None: + num_dist = sum(isinstance(c, MarkerDistanceConstraint) for c in constraints) + num_joint = sum(isinstance(c, JointAxisConstraint) for c in constraints) + print(f"[INFO] Constraint summary: total={len(constraints)} distance={num_dist} joint/chain={num_joint}") + + +def print_constraint_list(constraints: List[Constraint]) -> None: + print("\n[INFO] Constraint list:") + for idx, constraint in enumerate(constraints): + if isinstance(constraint, MarkerDistanceConstraint): + print( + f" [{idx:03d}] DISTANCE | " + f"Link='{constraint.link_name}' | " + f"M{constraint.marker_id_a} <-> M{constraint.marker_id_b} | " + f"Target={constraint.target_distance_m:.6f} m | " + f"Weight={constraint.weight} | " + f"Source={constraint.source}" + ) + else: + axis_str = np.array2string(constraint.joint_axis, precision=3, suppress_small=True) + print( + f" [{idx:03d}] JOINT_AXIS | " + f"{constraint.parent_link}(M{constraint.marker_id_parent}) -> " + f"{constraint.child_link}(M{constraint.marker_id_child}) | " + f"Axis={axis_str} | " + f"TargetDelta={constraint.target_delta_along_axis_m:.6f} m | " + f"Weight={constraint.weight} | " + f"Source={constraint.source}" + ) + + +def print_constraints_with_errors( + title: str, + constraints: List[Constraint], + positions: Dict[int, np.ndarray], + show_skipped: bool = True +) -> None: + print(f"\n[INFO] {title}") + + active = 0 + skipped = 0 + + for idx, constraint in enumerate(constraints): + if isinstance(constraint, MarkerDistanceConstraint): + if constraint.marker_id_a not in positions or constraint.marker_id_b not in positions: + skipped += 1 + if show_skipped: + print( + f" [{idx:03d}] DISTANCE | " + f"M{constraint.marker_id_a} <-> M{constraint.marker_id_b} | SKIPPED (missing marker)" + ) + continue + + pos_a = positions[constraint.marker_id_a] + pos_b = positions[constraint.marker_id_b] + actual = float(np.linalg.norm(pos_b - pos_a)) + error = actual - constraint.target_distance_m + active += 1 + + print( + f" [{idx:03d}] DISTANCE | " + f"Link='{constraint.link_name}' | " + f"M{constraint.marker_id_a} <-> M{constraint.marker_id_b} | " + f"target={constraint.target_distance_m*1000:.2f} mm | " + f"actual={actual*1000:.2f} mm | " + f"error={error*1000:+.2f} mm" + ) + + elif isinstance(constraint, JointAxisConstraint): + if constraint.marker_id_parent not in positions or constraint.marker_id_child not in positions: + skipped += 1 + if show_skipped: + print( + f" [{idx:03d}] JOINT_AXIS | " + f"M{constraint.marker_id_parent} -> M{constraint.marker_id_child} | SKIPPED (missing marker)" + ) + continue + + pos_parent = positions[constraint.marker_id_parent] + pos_child = positions[constraint.marker_id_child] + delta = pos_child - pos_parent + actual = float(np.dot(delta, constraint.joint_axis)) + error = actual - constraint.target_delta_along_axis_m + active += 1 + + axis_str = np.array2string(constraint.joint_axis, precision=2, suppress_small=True) + print( + f" [{idx:03d}] JOINT_AXIS | " + f"{constraint.parent_link}(M{constraint.marker_id_parent}) -> " + f"{constraint.child_link}(M{constraint.marker_id_child}) | " + f"axis={axis_str} | " + f"target={constraint.target_delta_along_axis_m*1000:.2f} mm | " + f"actual={actual*1000:.2f} mm | " + f"error={error*1000:+.2f} mm" + ) + + print(f"[INFO] Active constraints: {active} | Skipped: {skipped}") + + +def print_observation_weight_summary(obs_weights: Dict[Tuple[int, int], float]) -> None: + if not obs_weights: + print("[INFO] Observation weighting: disabled or empty") + return + values = np.array(list(obs_weights.values()), dtype=np.float64) + print( + "[INFO] Observation weights: " + f"min={values.min():.3f} mean={values.mean():.3f} " + f"median={np.median(values):.3f} max={values.max():.3f}" + ) + + +# =================================================================== +# Main +# =================================================================== + +def main() -> None: + parser = argparse.ArgumentParser( + description="Multi-view bundle adjustment with rule-based geometric constraints" + ) + parser.add_argument( + "-det", "--detections", + action="append", + required=True, + help="*_aruco_detection.json files" + ) + parser.add_argument( + "-pose", "--poses", + action="append", + required=True, + help="*_camera_pose.json files" + ) + parser.add_argument( + "-robot", "--robot", + required=True, + help="robot.json" + ) + parser.add_argument( + "-outDir", "--outDir", + default=None, + help="Output directory" + ) + parser.add_argument( + "-lambdaWeight", "--lambdaWeight", + type=float, + default=100.0, + help="Constraint weight multiplier" + ) + parser.add_argument( + "--strictUniqueMarkerIds", + action="store_true", + help="Fail if a marker ID appears more than once in robot.json" + ) + parser.add_argument( + "--showSkippedConstraints", + action="store_true", + help="Print skipped constraints in the report" + ) + parser.add_argument( + "--noShowSkippedConstraints", + action="store_true", + help="Hide skipped constraints in the report" + ) + parser.add_argument( + "--saveConstraintReport", + action="store_true", + help="Save constraint report JSON files" + ) + parser.add_argument( + "--saveObservationWeightReport", + action="store_true", + help="Save observation-weight report JSON file" + ) + + args = parser.parse_args() + + if args.showSkippedConstraints and args.noShowSkippedConstraints: + print("[ERROR] Choose only one of --showSkippedConstraints or --noShowSkippedConstraints") + sys.exit(1) + + if len(args.detections) != len(args.poses): + print(f"[ERROR] Mismatch: {len(args.detections)} detection files vs {len(args.poses)} pose files") + sys.exit(1) + + robot_data = load_json(args.robot) + length_scale = get_length_scale(robot_data) + cfg = load_constraint_rule_config(robot_data, args) + + print("[STEP 1] Compile constraints from robot.json structure...") + marker_to_link, link_markers, constraints, issues, marker_meta = compile_constraints(robot_data, length_scale, cfg) + + for issue in issues: + print(issue) + + print(f"[INFO] Links with markers: {sum(1 for v in link_markers.values() if len(v) > 0)}") + print(f"[INFO] Unique marker IDs: {len(marker_to_link)}") + print_constraint_summary(constraints) + print_constraint_list(constraints) + + print("\n[STEP 2] Load observations and camera poses...") + marker_observations, cameras, obs_metadata = load_observations_and_poses(args.detections, args.poses) + print(f"[INFO] {len(cameras)} cameras, {len(marker_observations)} observed markers") + print(f"[INFO] Detection files loaded: {len(obs_metadata)}") + + print("\n[STEP 3] Initial triangulation...") + initial_pos = initial_triangulation(marker_observations, cameras) + print(f"[INFO] Triangulated {len(initial_pos)} markers") + + out_dir = args.outDir or os.path.dirname(args.detections[0]) or "." + os.makedirs(resolve_path(out_dir), exist_ok=True) + + initial_output_markers = [] + for marker_id, position in sorted(initial_pos.items()): + initial_output_markers.append( + { + "marker_id": int(marker_id), + "position_m": [float(x) for x in position], + "position_mm": [float(x * 1000.0) for x in position], + "link": marker_to_link.get(marker_id, "unknown"), + } + ) + + initial_output = { + "schema_version": "1.2", + "stage": "initial_triangulation", + "created_utc": time.strftime("%Y-%m-%dT%H:%M:%SZ", time.gmtime()), + "summary": { + "num_cameras": len(cameras), + "num_markers": len(initial_pos), + "num_constraints": len(constraints), + }, + "markers": initial_output_markers, + } + initial_out_file = os.path.join(out_dir, "aruco_positions_initial.json") + save_json(initial_out_file, initial_output) + print(f"[INFO] Initial triangulation saved to {initial_out_file}") + + obs_weights = compute_observation_weights( + marker_observations=marker_observations, + cameras=cameras, + initial_positions=initial_pos, + marker_meta=marker_meta, + cfg=cfg, + robot_data=robot_data, + ) + print_observation_weight_summary(obs_weights) + + print_constraints_with_errors( + "Constraint list BEFORE optimization", + constraints, + initial_pos, + show_skipped=cfg.show_skipped_constraints, + ) + + print("\n[STEP 4] Bundle adjustment with constraints...") + optimized_pos = optimize_with_constraints( + initial_pos, + marker_observations, + cameras, + constraints, + obs_weights, + lambda_constraint=args.lambdaWeight, + ) + + print_constraints_with_errors( + "Constraint list AFTER optimization", + constraints, + optimized_pos, + show_skipped=cfg.show_skipped_constraints, + ) + + output_markers = [] + for marker_id, position in sorted(optimized_pos.items()): + output_markers.append( + { + "marker_id": int(marker_id), + "position_m": [float(x) for x in position], + "position_mm": [float(x * 1000.0) for x in position], + "link": marker_to_link.get(marker_id, "unknown"), + } + ) + + output = { + "schema_version": "1.2", + "created_utc": time.strftime("%Y-%m-%dT%H:%M:%SZ", time.gmtime()), + "summary": { + "num_cameras": len(cameras), + "num_markers": len(optimized_pos), + "num_constraints": len(constraints), + }, + "markers": output_markers, + } + out_file = os.path.join(out_dir, "aruco_positions_optimized.json") + save_json(out_file, output) + print(f"\n[INFO] Saved to {out_file}") + + if args.saveConstraintReport: + report = { + "schema_version": "1.0", + "created_utc": time.strftime("%Y-%m-%dT%H:%M:%SZ", time.gmtime()), + "summary": { + "num_constraints": len(constraints), + "num_links_with_markers": sum(1 for v in link_markers.values() if len(v) > 0), + "num_observed_markers": len(marker_observations), + "num_triangulated_markers": len(initial_pos), + "num_optimized_markers": len(optimized_pos), + }, + "constraints": [], + } + for c in constraints: + if isinstance(c, MarkerDistanceConstraint): + report["constraints"].append( + { + "kind": "distance", + "link_name": c.link_name, + "marker_id_a": c.marker_id_a, + "marker_id_b": c.marker_id_b, + "target_distance_m": c.target_distance_m, + "weight": c.weight, + "source": c.source, + } + ) + else: + report["constraints"].append( + { + "kind": "joint_axis", + "parent_link": c.parent_link, + "child_link": c.child_link, + "marker_id_parent": c.marker_id_parent, + "marker_id_child": c.marker_id_child, + "joint_axis": [float(x) for x in c.joint_axis], + "target_delta_along_axis_m": c.target_delta_along_axis_m, + "weight": c.weight, + "source": c.source, + } + ) + report_file = os.path.join(out_dir, "constraint_report.json") + save_json(report_file, report) + print(f"[INFO] Constraint report saved to {report_file}") + + if args.saveObservationWeightReport: + obs_report = { + "schema_version": "1.0", + "created_utc": time.strftime("%Y-%m-%dT%H:%M:%SZ", time.gmtime()), + "summary": { + "num_weighted_observations": len(obs_weights), + }, + "observation_weights": [ + { + "marker_id": int(mid), + "observation_index": int(obs_idx), + "weight": float(w), + } + for (mid, obs_idx), w in sorted(obs_weights.items()) + ], + } + obs_file = os.path.join(out_dir, "observation_weight_report.json") + save_json(obs_file, obs_report) + print(f"[INFO] Observation-weight report saved to {obs_file}") + + +if __name__ == "__main__": + main() diff --git a/pipeline/3_multiview_bundle_adjustment_v4.py b/pipeline/3_multiview_bundle_adjustment_v4.py new file mode 100644 index 0000000..4d7384f --- /dev/null +++ b/pipeline/3_multiview_bundle_adjustment_v4.py @@ -0,0 +1,1462 @@ +#!/usr/bin/env python3 +""" +3_multiview_bundle_adjustment_v4.py + +Multi-view ArUco marker position optimization with explicit, switchable +degrees-of-freedom constraints. + +Mathematical model +------------------ +We estimate 3D marker positions X_i ∈ R^3 by minimizing + + E(X) = + Σ_{i,c} w_ic || π_c(X_i) - u_ic ||² + + λ_r Σ_j w_j^r || ||X_a - X_b|| - d_j ||² + + λ_rev Σ_k w_k^rev || (X_b - X_a)·a_k - t_k ||² + + λ_pri Σ_m w_m^pri ( ||(X_b - X_a)·u_m - t_u||² + + ||(X_b - X_a)·v_m - t_v||² ) + +where: +- u_ic are observed normalized image coordinates for marker i in camera c +- π_c(.) is the normalized reprojection model +- w_ic are observation weights from detection quality / marker priors / range +- rigid-link constraints preserve internal marker geometry of a link +- revolute joints keep the projection along the joint axis constant +- prismatic joints keep the two orthogonal projection components constant + +Important design choices +------------------------ +- robot.json is used as a kinematic description, not as a direct source of + world-space marker positions. +- constraint families are explicit, switchable, and easy to compare across + versions. +- legacy chain-propagation constraints are retained only as an optional family + and are OFF by default. +- observation weighting remains separate from constraint weighting so both can + be tested independently. + +Dependencies: + numpy, opencv-python, scipy (optional for optimization) + +Example: + python 3_multiview_bundle_adjustment_v4.py ^ + -det cam1_aruco_detection.json cam2_aruco_detection.json cam3_aruco_detection.json ^ + -pose cam1_camera_pose.json cam2_camera_pose.json cam3_camera_pose.json ^ + -robot robot.json ^ + -lambdaWeight 100.0 +""" +from __future__ import annotations + +import argparse +import json +import os +import sys +import time +from dataclasses import dataclass +from itertools import combinations +from typing import Any, Dict, List, Optional, Tuple + +import cv2 +import numpy as np + + +# =================================================================== +# Path / JSON helpers +# =================================================================== + +def resolve_path(path: str) -> str: + path = os.path.expanduser(path) + if os.path.isabs(path): + return path + return os.path.abspath(path) + + +def load_json(path: str) -> Dict[str, Any]: + with open(resolve_path(path), "r", encoding="utf-8") as f: + return json.load(f) + + +def save_json(path: str, data: Dict[str, Any]) -> None: + with open(resolve_path(path), "w", encoding="utf-8") as f: + json.dump(data, f, indent=2) + + +# =================================================================== +# Units +# =================================================================== + +def get_length_scale(robot_data: Dict[str, Any]) -> float: + units = robot_data.get("units", {}) or {} + length_unit = str(units.get("length", "")).strip().lower() + if length_unit in ("mm", "millimeter", "millimeters"): + return 1.0 / 1000.0 + if length_unit in ("cm", "centimeter", "centimeters"): + return 1.0 / 100.0 + return 1.0 + + +# =================================================================== +# Small geometry helpers +# =================================================================== + +def safe_norm(v: np.ndarray, eps: float = 1e-12) -> float: + return float(np.linalg.norm(v) + eps) + + +def normalize_vector(v: np.ndarray, eps: float = 1e-12) -> np.ndarray: + return np.asarray(v, dtype=np.float64) / safe_norm(v, eps) + + +def clamp(v: float, lo: float, hi: float) -> float: + return float(max(lo, min(hi, v))) + + +def principal_axis_id(axis: np.ndarray, threshold: float = 0.95) -> Optional[int]: + """Return 0,1,2 for x,y,z if axis is close enough to a principal axis.""" + a = normalize_vector(np.asarray(axis, dtype=np.float64)) + idx = int(np.argmax(np.abs(a))) + if abs(a[idx]) >= threshold: + return idx + return None + + +def camera_center_from_world_to_cam(R_wc: np.ndarray, t_wc: np.ndarray) -> np.ndarray: + """world_to_camera: X_cam = R_wc * X_world + t_wc; camera center is -R^T t.""" + return -R_wc.T @ t_wc + + +def principal_axis_vector(axis: np.ndarray) -> np.ndarray: + """Convert a near-principal axis to an exact signed principal axis vector.""" + a = normalize_vector(axis) + idx = int(np.argmax(np.abs(a))) + out = np.zeros(3, dtype=np.float64) + out[idx] = 1.0 if a[idx] >= 0 else -1.0 + return normalize_vector(out) + + +def orthonormal_basis_from_axis(axis: np.ndarray) -> Tuple[np.ndarray, np.ndarray]: + """ + Build two unit vectors orthogonal to axis, with a deterministic orientation. + """ + a = normalize_vector(axis) + ref = np.array([1.0, 0.0, 0.0], dtype=np.float64) + if abs(float(np.dot(a, ref))) > 0.90: + ref = np.array([0.0, 1.0, 0.0], dtype=np.float64) + u = np.cross(a, ref) + if np.linalg.norm(u) < 1e-12: + ref = np.array([0.0, 0.0, 1.0], dtype=np.float64) + u = np.cross(a, ref) + u = normalize_vector(u) + v = normalize_vector(np.cross(a, u)) + return u, v + + +# =================================================================== +# Configuration +# =================================================================== + +@dataclass +class ConstraintRuleConfig: + rigid_distance_enabled: bool = True + rigid_distance_mode: str = "mst" # mst | star | full + rigid_distance_weight: float = 1.0 + + # Revolute joints: keep the projection along the axis constant. + revolute_axis_enabled: bool = True + revolute_axis_max_pairs: int = 2 + revolute_axis_weight: float = 0.5 + + # Prismatic joints: keep the two orthogonal projection components constant. + prismatic_orthogonal_enabled: bool = True + prismatic_orthogonal_max_pairs: int = 2 + prismatic_orthogonal_weight: float = 0.35 + + # Legacy / optional chain propagation, disabled by default. + chain_axis_enabled: bool = False + chain_axis_max_depth: int = 3 + chain_axis_max_pairs: int = 2 + chain_axis_weight: float = 0.3 + + axis_alignment_threshold: float = 0.95 + + strict_unique_marker_ids: bool = False + show_skipped_constraints: bool = True + + enable_observation_weights: bool = True + weight_floor: float = 0.30 + weight_ceiling: float = 3.00 + ref_distance_m: float = 0.75 + ref_marker_size_px: float = 50.0 + use_detection_confidence: bool = True + use_detection_size_px: bool = True + use_initial_range: bool = True + use_marker_size_prior: bool = True + + +def _bool_or_default(value: Any, default: bool) -> bool: + if value is None: + return default + return bool(value) + + +def _float_or_default(value: Any, default: float) -> float: + if value is None: + return default + return float(value) + + +def _int_or_default(value: Any, default: int) -> int: + if value is None: + return default + return int(value) + + +def load_constraint_rule_config(robot_data: Dict[str, Any], args: argparse.Namespace) -> ConstraintRuleConfig: + """ + Merge built-in defaults with optional robot.json constraint_rules and CLI flags. + Backward compatibility: + - joint_axis_projection -> revolute_axis + """ + rules = robot_data.get("constraint_rules", {}) or {} + + cfg = ConstraintRuleConfig() + rigid = rules.get("rigid_distance", {}) or {} + revolute = rules.get("joint_revolute_axis", {}) or rules.get("joint_axis_projection", {}) or {} + prismatic = rules.get("joint_prismatic_orthogonal", {}) or {} + chain = rules.get("chain_axis_projection", {}) or {} + obs = rules.get("observation_weights", {}) or {} + + cfg.rigid_distance_enabled = _bool_or_default(rigid.get("enabled"), cfg.rigid_distance_enabled) + cfg.rigid_distance_mode = str(rigid.get("mode", cfg.rigid_distance_mode)).strip().lower() + cfg.rigid_distance_weight = _float_or_default(rigid.get("weight"), cfg.rigid_distance_weight) + + cfg.revolute_axis_enabled = _bool_or_default(revolute.get("enabled"), cfg.revolute_axis_enabled) + cfg.revolute_axis_max_pairs = _int_or_default(revolute.get("max_pairs"), cfg.revolute_axis_max_pairs) + cfg.revolute_axis_weight = _float_or_default(revolute.get("weight"), cfg.revolute_axis_weight) + + cfg.prismatic_orthogonal_enabled = _bool_or_default(prismatic.get("enabled"), cfg.prismatic_orthogonal_enabled) + cfg.prismatic_orthogonal_max_pairs = _int_or_default(prismatic.get("max_pairs"), cfg.prismatic_orthogonal_max_pairs) + cfg.prismatic_orthogonal_weight = _float_or_default(prismatic.get("weight"), cfg.prismatic_orthogonal_weight) + + cfg.chain_axis_enabled = _bool_or_default(chain.get("enabled"), cfg.chain_axis_enabled) + cfg.chain_axis_max_depth = _int_or_default(chain.get("max_depth"), cfg.chain_axis_max_depth) + cfg.chain_axis_max_pairs = _int_or_default(chain.get("max_pairs"), cfg.chain_axis_max_pairs) + cfg.chain_axis_weight = _float_or_default(chain.get("weight"), cfg.chain_axis_weight) + + cfg.axis_alignment_threshold = _float_or_default( + rules.get("axis_alignment_threshold"), cfg.axis_alignment_threshold + ) + + cfg.enable_observation_weights = _bool_or_default(obs.get("enabled"), cfg.enable_observation_weights) + cfg.weight_floor = _float_or_default(obs.get("weight_floor"), cfg.weight_floor) + cfg.weight_ceiling = _float_or_default(obs.get("weight_ceiling"), cfg.weight_ceiling) + cfg.ref_distance_m = _float_or_default(obs.get("ref_distance_m"), cfg.ref_distance_m) + cfg.ref_marker_size_px = _float_or_default(obs.get("ref_marker_size_px"), cfg.ref_marker_size_px) + cfg.use_detection_confidence = _bool_or_default(obs.get("use_detection_confidence"), cfg.use_detection_confidence) + cfg.use_detection_size_px = _bool_or_default(obs.get("use_detection_size_px"), cfg.use_detection_size_px) + cfg.use_initial_range = _bool_or_default(obs.get("use_initial_range"), cfg.use_initial_range) + cfg.use_marker_size_prior = _bool_or_default(obs.get("use_marker_size_prior"), cfg.use_marker_size_prior) + + if getattr(args, "strictUniqueMarkerIds", False): + cfg.strict_unique_marker_ids = True + if getattr(args, "showSkippedConstraints", False): + cfg.show_skipped_constraints = True + if getattr(args, "noShowSkippedConstraints", False): + cfg.show_skipped_constraints = False + + return cfg + + +# =================================================================== +# Observation / constraint definitions +# =================================================================== + +@dataclass +class Observation: + cam_idx: int + norm_coords: np.ndarray + meta: Dict[str, Any] + + +@dataclass +class MarkerDistanceConstraint: + marker_id_a: int + marker_id_b: int + link_name: str + target_distance_m: float + weight: float = 1.0 + enabled: bool = True + source: str = "rigid_distance" + + +@dataclass +class JointAxisConstraint: + marker_id_parent: int + marker_id_child: int + parent_link: str + child_link: str + joint_axis: np.ndarray + target_delta_along_axis_m: float + weight: float = 1.0 + enabled: bool = True + source: str = "joint_axis_projection" + + +Constraint = MarkerDistanceConstraint | JointAxisConstraint + + +# =================================================================== +# Robot parsing +# =================================================================== + +def parse_robot_markers( + robot_data: Dict[str, Any], + length_scale: float, + strict_unique_marker_ids: bool = False +) -> Tuple[Dict[int, str], Dict[str, List[Dict[str, Any]]], List[str], Dict[int, Dict[str, Any]]]: + links = robot_data.get("links", {}) or {} + + marker_to_link: Dict[int, str] = {} + link_markers: Dict[str, List[Dict[str, Any]]] = {} + issues: List[str] = [] + marker_meta: Dict[int, Dict[str, Any]] = {} + + seen_global: Dict[int, str] = {} + + for link_name, link_data in links.items(): + markers = link_data.get("markers", []) or [] + collected: List[Dict[str, Any]] = [] + seen_local: set[int] = set() + + for idx, marker in enumerate(markers): + marker_id = int(marker.get("id", -1)) + pos = marker.get("position", None) + + if marker_id < 0 or pos is None or len(pos) != 3: + issues.append(f"[WARN] link={link_name}: skipped invalid marker entry at index {idx}") + continue + + if marker_id in seen_local: + msg = f"[WARN] duplicate marker id {marker_id} inside link '{link_name}'" + if strict_unique_marker_ids: + raise ValueError(msg) + issues.append(msg + " -> skipped duplicate inside same link") + continue + + if marker_id in seen_global: + msg = ( + f"[WARN] duplicate marker id {marker_id} appears in link '{link_name}' " + f"and already in link '{seen_global[marker_id]}'" + ) + if strict_unique_marker_ids: + raise ValueError(msg) + issues.append(msg + " -> skipped duplicate occurrence") + continue + + seen_local.add(marker_id) + seen_global[marker_id] = link_name + + pos_raw = np.array(pos, dtype=np.float64) + pos_m = pos_raw * float(length_scale) + + item = { + "id": marker_id, + "name": marker.get("name", f"marker_{marker_id}"), + "position_raw": pos_raw, + "position_m": pos_m, + "normal": np.array(marker.get("normal", [0, 0, 1]), dtype=np.float64), + "size": marker.get("size", None), + "spin": marker.get("spin", None), + } + collected.append(item) + marker_to_link[marker_id] = link_name + marker_meta[marker_id] = { + "link_name": link_name, + "name": item["name"], + "position_m": pos_m, + "normal": item["normal"], + "size": item["size"], + "spin": item["spin"], + } + + link_markers[link_name] = collected + + return marker_to_link, link_markers, issues, marker_meta + + +def get_link_parent_map(robot_data: Dict[str, Any]) -> Dict[str, Optional[str]]: + links = robot_data.get("links", {}) or {} + return {link_name: (link_data.get("parent", None)) for link_name, link_data in links.items()} + + +def get_joint_info(robot_data: Dict[str, Any], child_link: str) -> Dict[str, Any]: + links = robot_data.get("links", {}) or {} + return (links.get(child_link, {}) or {}).get("jointToParent", {}) or {} + + +def get_joint_axis(robot_data: Dict[str, Any], child_link: str) -> Optional[np.ndarray]: + joint = get_joint_info(robot_data, child_link) + axis = joint.get("axis", None) + if axis is None: + return None + axis = np.asarray(axis, dtype=np.float64) + if safe_norm(axis) < 1e-12: + return None + return normalize_vector(axis) + + +def get_vision_marker_size_default(robot_data: Dict[str, Any]) -> float: + vision = robot_data.get("vision_config", {}) or {} + ms = vision.get("MarkerSize", None) + if ms is None: + return 0.025 + return float(ms) + + +# =================================================================== +# Constraint compilation helpers +# =================================================================== + +def get_enabled_link_rule( + robot_data: Dict[str, Any], + link_name: str, + rule_name: str, + default_enabled: bool = True +) -> bool: + overrides = robot_data.get("constraint_overrides", {}) or {} + link_override = overrides.get(link_name, {}) or {} + rule_override = link_override.get(rule_name, {}) or {} + if "enabled" in rule_override: + return bool(rule_override["enabled"]) + return default_enabled + + +def select_anchor_marker_ids( + markers: List[Dict[str, Any]], + axis: Optional[np.ndarray] = None, + max_count: int = 2 +) -> List[int]: + if not markers: + return [] + if len(markers) == 1: + return [int(markers[0]["id"])] + + ids = [int(m["id"]) for m in markers] + pos = np.stack([np.asarray(m["position_m"], dtype=np.float64) for m in markers], axis=0) + + selected: List[int] = [] + + if axis is not None and safe_norm(axis) > 1e-12: + a = normalize_vector(axis) + proj = pos @ a + min_idx = int(np.argmin(proj)) + max_idx = int(np.argmax(proj)) + selected = [ids[min_idx], ids[max_idx]] + else: + centroid = np.mean(pos, axis=0) + d = np.linalg.norm(pos - centroid, axis=1) + min_idx = int(np.argmin(d)) + max_idx = int(np.argmax(d)) + selected = [ids[min_idx], ids[max_idx]] + + if len(selected) < max_count: + for mid in ids: + if mid not in selected: + selected.append(mid) + if len(selected) >= max_count: + break + + out: List[int] = [] + seen: set[int] = set() + for mid in selected: + if mid not in seen: + seen.add(mid) + out.append(mid) + if len(out) >= max_count: + break + return out + + +def mst_edges_for_link(markers: List[Dict[str, Any]]) -> List[Tuple[int, int]]: + n = len(markers) + if n < 2: + return [] + + ids = [int(m["id"]) for m in markers] + pos = np.stack([np.asarray(m["position_m"], dtype=np.float64) for m in markers], axis=0) + in_tree = np.zeros(n, dtype=bool) + in_tree[0] = True + edges: List[Tuple[int, int]] = [] + dist = np.linalg.norm(pos[:, None, :] - pos[None, :, :], axis=2) + + for _ in range(n - 1): + best = None + best_d = float("inf") + for i in range(n): + if not in_tree[i]: + continue + for j in range(n): + if in_tree[j]: + continue + d = float(dist[i, j]) + if d < best_d: + best_d = d + best = (i, j) + if best is None: + break + i, j = best + in_tree[j] = True + edges.append((ids[i], ids[j])) + return edges + + +def compile_rigid_distance_constraints( + robot_data: Dict[str, Any], + link_markers: Dict[str, List[Dict[str, Any]]], + cfg: ConstraintRuleConfig +) -> List[MarkerDistanceConstraint]: + constraints: List[MarkerDistanceConstraint] = [] + + for link_name, markers in link_markers.items(): + if not get_enabled_link_rule(robot_data, link_name, "rigid_distance", cfg.rigid_distance_enabled): + continue + if len(markers) < 2: + continue + + mode = cfg.rigid_distance_mode + if mode == "full": + pairs = [(int(a["id"]), int(b["id"])) for a, b in combinations(markers, 2)] + elif mode == "star": + anchor_ids = select_anchor_marker_ids(markers, axis=None, max_count=1) + anchor_id = anchor_ids[0] + pairs = [] + for m in markers: + mid = int(m["id"]) + if mid != anchor_id: + pairs.append((anchor_id, mid)) + elif mode == "mst": + pairs = mst_edges_for_link(markers) + else: + raise ValueError(f"Unknown rigid_distance_mode='{mode}'. Use mst|star|full.") + + pos_map = {int(m["id"]): np.asarray(m["position_m"], dtype=np.float64) for m in markers} + seen_pairs: set[Tuple[int, int]] = set() + + for mid_a, mid_b in pairs: + if mid_a == mid_b: + continue + key = tuple(sorted((int(mid_a), int(mid_b)))) + if key in seen_pairs: + continue + seen_pairs.add(key) + + pos_a = pos_map[mid_a] + pos_b = pos_map[mid_b] + target = float(np.linalg.norm(pos_b - pos_a)) + + constraints.append( + MarkerDistanceConstraint( + marker_id_a=mid_a, + marker_id_b=mid_b, + link_name=link_name, + target_distance_m=target, + weight=cfg.rigid_distance_weight, + enabled=True, + source=f"rigid_distance:{mode}", + ) + ) + + return constraints + + +def compile_joint_dof_constraints( + robot_data: Dict[str, Any], + link_markers: Dict[str, List[Dict[str, Any]]], + cfg: ConstraintRuleConfig +) -> List[JointAxisConstraint]: + """ + Compile local joint constraints from robot.json. + + Revolute joints: one scalar constraint per anchor pair + (projection along the joint axis stays constant) + + Prismatic joints: two scalar constraints per anchor pair + (the orthogonal projections stay constant) + + Both are emitted as JointAxisConstraint objects so the rest of the + optimization pipeline remains unchanged. + """ + constraints: List[JointAxisConstraint] = [] + links = robot_data.get("links", {}) or {} + + for child_link, child_data in links.items(): + parent_link = child_data.get("parent", None) + if not parent_link: + continue + + joint_info = child_data.get("jointToParent", {}) or {} + joint_type = str(joint_info.get("type", "")).strip().lower() + + joint_axis = get_joint_axis(robot_data, child_link) + if joint_axis is None: + continue + + axis_vec = principal_axis_vector(joint_axis) + + parent_markers = link_markers.get(parent_link, []) + child_markers = link_markers.get(child_link, []) + if len(parent_markers) == 0 or len(child_markers) == 0: + continue + + parent_pos = {int(m["id"]): np.asarray(m["position_m"], dtype=np.float64) for m in parent_markers} + child_pos = {int(m["id"]): np.asarray(m["position_m"], dtype=np.float64) for m in child_markers} + + seen: set[Tuple[int, int]] = set() + + if joint_type == "revolute": + if not get_enabled_link_rule( + robot_data, child_link, "joint_revolute_axis", cfg.revolute_axis_enabled + ): + continue + + max_pairs = max(1, int(cfg.revolute_axis_max_pairs)) + parent_anchor_ids = select_anchor_marker_ids(parent_markers, axis=axis_vec, max_count=max_pairs) + child_anchor_ids = select_anchor_marker_ids(child_markers, axis=axis_vec, max_count=max_pairs) + + for mid_p in parent_anchor_ids: + for mid_c in child_anchor_ids: + if mid_p == mid_c: + continue + key = (mid_p, mid_c) + if key in seen: + continue + seen.add(key) + + delta = child_pos[mid_c] - parent_pos[mid_p] + target = float(np.dot(delta, axis_vec)) + + constraints.append( + JointAxisConstraint( + marker_id_parent=mid_p, + marker_id_child=mid_c, + parent_link=parent_link, + child_link=child_link, + joint_axis=axis_vec, + target_delta_along_axis_m=target, + weight=cfg.revolute_axis_weight, + enabled=True, + source="revolute_axis_projection", + ) + ) + + elif joint_type == "linear": + if not get_enabled_link_rule( + robot_data, child_link, "joint_prismatic_orthogonal", cfg.prismatic_orthogonal_enabled + ): + continue + + max_pairs = max(1, int(cfg.prismatic_orthogonal_max_pairs)) + parent_anchor_ids = select_anchor_marker_ids(parent_markers, axis=axis_vec, max_count=max_pairs) + child_anchor_ids = select_anchor_marker_ids(child_markers, axis=axis_vec, max_count=max_pairs) + basis_u, basis_v = orthonormal_basis_from_axis(axis_vec) + + for mid_p in parent_anchor_ids: + for mid_c in child_anchor_ids: + if mid_p == mid_c: + continue + key = (mid_p, mid_c) + if key in seen: + continue + seen.add(key) + + delta = child_pos[mid_c] - parent_pos[mid_p] + + constraints.append( + JointAxisConstraint( + marker_id_parent=mid_p, + marker_id_child=mid_c, + parent_link=parent_link, + child_link=child_link, + joint_axis=basis_u, + target_delta_along_axis_m=float(np.dot(delta, basis_u)), + weight=cfg.prismatic_orthogonal_weight, + enabled=True, + source="prismatic_orthogonal_projection:u", + ) + ) + constraints.append( + JointAxisConstraint( + marker_id_parent=mid_p, + marker_id_child=mid_c, + parent_link=parent_link, + child_link=child_link, + joint_axis=basis_v, + target_delta_along_axis_m=float(np.dot(delta, basis_v)), + weight=cfg.prismatic_orthogonal_weight, + enabled=True, + source="prismatic_orthogonal_projection:v", + ) + ) + + else: + continue + + return constraints + + + + +def compile_constraints( + robot_data: Dict[str, Any], + length_scale: float, + cfg: ConstraintRuleConfig +) -> Tuple[Dict[int, str], Dict[str, List[Dict[str, Any]]], List[Constraint], List[str], Dict[int, Dict[str, Any]]]: + marker_to_link, link_markers, issues, marker_meta = parse_robot_markers( + robot_data, + length_scale=length_scale, + strict_unique_marker_ids=cfg.strict_unique_marker_ids, + ) + + constraints: List[Constraint] = [] + constraints.extend(compile_rigid_distance_constraints(robot_data, link_markers, cfg)) + constraints.extend(compile_joint_dof_constraints(robot_data, link_markers, cfg)) + + # Legacy optional family, OFF by default. + if cfg.chain_axis_enabled: + constraints.extend(compile_chain_axis_constraints(robot_data, link_markers, cfg)) + + unique_constraints: List[Constraint] = [] + seen_keys: set[Tuple[Any, ...]] = set() + + for c in constraints: + if isinstance(c, MarkerDistanceConstraint): + key = ( + "d", + min(c.marker_id_a, c.marker_id_b), + max(c.marker_id_a, c.marker_id_b), + c.link_name, + round(c.target_distance_m, 9), + ) + else: + key = ( + "j", + c.parent_link, + c.child_link, + c.marker_id_parent, + c.marker_id_child, + tuple(np.round(c.joint_axis, 9).tolist()), + round(c.target_delta_along_axis_m, 9), + ) + if key in seen_keys: + continue + seen_keys.add(key) + unique_constraints.append(c) + + return marker_to_link, link_markers, unique_constraints, issues, marker_meta + + +# =================================================================== +# Observation quality / weighting +# =================================================================== + +def _optional_float(meta: Dict[str, Any], keys: List[str]) -> Optional[float]: + for k in keys: + if k in meta and meta[k] is not None: + try: + return float(meta[k]) + except Exception: + pass + return None + + +def detection_quality_from_metadata(det_obj: Dict[str, Any], cfg: ConstraintRuleConfig) -> float: + q = 1.0 + + if cfg.use_detection_confidence: + conf = _optional_float(det_obj, ["confidence", "score", "quality", "det_confidence"]) + if conf is not None: + q *= clamp(conf, 0.1, 1.0) + + if cfg.use_detection_size_px: + size_px = _optional_float(det_obj, ["size_px", "marker_size_px", "side_px", "side_length_px"]) + if size_px is None and "corners_px" in det_obj and isinstance(det_obj["corners_px"], list): + try: + corners = np.asarray(det_obj["corners_px"], dtype=np.float64).reshape(-1, 2) + if len(corners) >= 4: + edges = [] + for i in range(len(corners)): + p = corners[i] + q2 = corners[(i + 1) % len(corners)] + edges.append(float(np.linalg.norm(q2 - p))) + size_px = float(np.mean(edges)) + except Exception: + size_px = None + if size_px is not None: + q *= clamp(size_px / max(cfg.ref_marker_size_px, 1e-6), 0.25, 3.0) + + sharpness = _optional_float(det_obj, ["sharpness", "corner_sharpness"]) + if sharpness is not None: + q *= clamp(sharpness / 2500.0, 0.5, 1.5) + + normal_alignment = _optional_float(det_obj, ["normal_alignment", "view_cosine", "cos_to_camera"]) + if normal_alignment is not None: + q *= clamp(normal_alignment, 0.3, 1.0) + + return float(q) + + +def marker_size_prior_factor(marker_meta: Dict[str, Any], default_marker_size_m: float) -> float: + size_val = marker_meta.get("size", None) + if size_val is None: + return 1.0 + + try: + size_val = float(size_val) + except Exception: + return 1.0 + + size_m = size_val / 1000.0 if size_val > 1.0 else size_val + ref = max(default_marker_size_m, 1e-6) + return clamp(size_m / ref, 0.7, 1.3) + + +def compute_observation_weights( + marker_observations: Dict[int, List[Observation]], + cameras: List[Tuple[np.ndarray, np.ndarray, np.ndarray, np.ndarray]], + initial_positions: Dict[int, np.ndarray], + marker_meta: Dict[int, Dict[str, Any]], + cfg: ConstraintRuleConfig, + robot_data: Dict[str, Any] +) -> Dict[Tuple[int, int], float]: + weights: Dict[Tuple[int, int], float] = {} + default_marker_size_m = get_vision_marker_size_default(robot_data) + + for marker_id, obs_list in marker_observations.items(): + X = initial_positions.get(marker_id, None) + size_prior = marker_size_prior_factor(marker_meta.get(marker_id, {}), default_marker_size_m) + + for obs_idx, obs in enumerate(obs_list): + w = 1.0 + q = detection_quality_from_metadata(obs.meta, cfg) + w *= q + + if cfg.use_marker_size_prior: + w *= size_prior + + if cfg.use_initial_range and X is not None: + _, _, R_wc, t_wc = cameras[obs.cam_idx] + C = camera_center_from_world_to_cam(R_wc, t_wc) + dist = float(np.linalg.norm(X - C)) + if np.isfinite(dist): + w *= clamp(cfg.ref_distance_m / max(dist, 1e-6), 0.4, 2.0) + + weights[(marker_id, obs_idx)] = clamp(w, cfg.weight_floor, cfg.weight_ceiling) + + return weights + + +# =================================================================== +# Multi-view loading +# =================================================================== + +def load_observations_and_poses( + detection_files: List[str], + pose_files: List[str] +) -> Tuple[ + Dict[int, List[Observation]], + List[Tuple[np.ndarray, np.ndarray, np.ndarray, np.ndarray]], + List[Dict[str, Any]] +]: + if len(detection_files) != len(pose_files): + raise ValueError(f"Mismatch: {len(detection_files)} detections vs {len(pose_files)} poses") + + marker_observations: Dict[int, List[Observation]] = {} + cameras: List[Tuple[np.ndarray, np.ndarray, np.ndarray, np.ndarray]] = [] + obs_metadata: List[Dict[str, Any]] = [] + + for cam_idx, (det_file, pose_file) in enumerate(zip(detection_files, pose_files)): + det = load_json(det_file) + pose_data = load_json(pose_file) + + cam_section = det.get("camera", {}) or {} + K = np.array(cam_section.get("camera_matrix", []), dtype=np.float64).reshape(3, 3) + D = np.array(cam_section.get("distortion_coefficients", []), dtype=np.float64).reshape(-1, 1) + + pose_section = pose_data.get("camera_pose", {}) or {} + world_to_cam = pose_section.get("world_to_camera", {}) or {} + R_wc = np.array(world_to_cam.get("rotation_matrix", []), dtype=np.float64).reshape(3, 3) + t_wc = np.array(world_to_cam.get("translation_m", []), dtype=np.float64).reshape(3) + + cameras.append((K, D, R_wc, t_wc)) + + detections = det.get("detections", []) or [] + for det_obj in detections: + marker_id = int(det_obj.get("marker_id", -1)) + if marker_id < 0: + continue + + center_px = np.array(det_obj.get("center_px", []), dtype=np.float64) + if center_px.shape != (2,): + continue + + pts = center_px.reshape(1, 1, 2).astype(np.float32) + und = cv2.undistortPoints(pts, K.astype(np.float32), D.astype(np.float32), P=None) + norm_coords = und.reshape(2).astype(np.float64) + + obs = Observation(cam_idx=cam_idx, norm_coords=norm_coords, meta=dict(det_obj)) + marker_observations.setdefault(marker_id, []).append(obs) + + obs_metadata.append( + { + "detection_file": det_file, + "pose_file": pose_file, + "num_detections": len(detections), + } + ) + + return marker_observations, cameras, obs_metadata + + +# =================================================================== +# Initial triangulation +# =================================================================== + +def triangulate_marker_initial( + marker_id: int, + observations: List[Observation], + cameras: List[Tuple[np.ndarray, np.ndarray, np.ndarray, np.ndarray]] +) -> Optional[np.ndarray]: + if len(observations) < 2: + return None + + best_pair = None + best_baseline = -1.0 + + for obs_i, obs_j in combinations(observations, 2): + cam_i, cam_j = obs_i.cam_idx, obs_j.cam_idx + _, _, R1, t1 = cameras[cam_i] + _, _, R2, t2 = cameras[cam_j] + c1 = camera_center_from_world_to_cam(R1, t1) + c2 = camera_center_from_world_to_cam(R2, t2) + baseline = float(np.linalg.norm(c2 - c1)) + if baseline > best_baseline: + best_baseline = baseline + best_pair = (obs_i, obs_j) + + if best_pair is None: + return None + + obs_i, obs_j = best_pair + cam_i, cam_j = obs_i.cam_idx, obs_j.cam_idx + norm_coords_i = obs_i.norm_coords + norm_coords_j = obs_j.norm_coords + + K1, D1, R1, t1 = cameras[cam_i] + K2, D2, R2, t2 = cameras[cam_j] + + x1_px = K1[0, 0] * norm_coords_i[0] + K1[0, 2] + y1_px = K1[1, 1] * norm_coords_i[1] + K1[1, 2] + x2_px = K2[0, 0] * norm_coords_j[0] + K2[0, 2] + y2_px = K2[1, 1] * norm_coords_j[1] + K2[1, 2] + + P1 = K1 @ np.hstack([R1, t1.reshape(3, 1)]) + P2 = K2 @ np.hstack([R2, t2.reshape(3, 1)]) + + try: + X_h = cv2.triangulatePoints( + P1, + P2, + np.array([[x1_px], [y1_px]], dtype=np.float64), + np.array([[x2_px], [y2_px]], dtype=np.float64), + ) + X = (X_h[:3] / X_h[3]).reshape(3).astype(np.float64) + if not np.all(np.isfinite(X)): + return None + return X + except Exception: + return None + + +def initial_triangulation( + marker_observations: Dict[int, List[Observation]], + cameras: List[Tuple[np.ndarray, np.ndarray, np.ndarray, np.ndarray]] +) -> Dict[int, np.ndarray]: + triangulated: Dict[int, np.ndarray] = {} + for marker_id, observations in marker_observations.items(): + X = triangulate_marker_initial(marker_id, observations, cameras) + if X is not None: + triangulated[marker_id] = X + return triangulated + + +# =================================================================== +# Weighted residuals / optimization +# =================================================================== + +def bundle_adjustment_residuals( + marker_positions_flat: np.ndarray, + marker_ids: List[int], + marker_observations: Dict[int, List[Observation]], + cameras: List[Tuple[np.ndarray, np.ndarray, np.ndarray, np.ndarray]], + constraints: List[Constraint], + obs_weights: Dict[Tuple[int, int], float], + lambda_constraint: float = 100.0 +) -> np.ndarray: + marker_dict: Dict[int, np.ndarray] = {} + for i, marker_id in enumerate(marker_ids): + marker_dict[marker_id] = marker_positions_flat[i * 3:(i + 1) * 3] + + residuals: List[float] = [] + + for marker_id, observations in marker_observations.items(): + if marker_id not in marker_dict: + continue + + X_world = marker_dict[marker_id] + for obs_idx, obs in enumerate(observations): + cam_idx, norm_coords_obs = obs.cam_idx, obs.norm_coords + K, D, R_wc, t_wc = cameras[cam_idx] + X_cam = R_wc @ X_world + t_wc + if X_cam[2] > 1e-6: + proj_norm = X_cam[:2] / X_cam[2] + r = proj_norm - norm_coords_obs + w = float(np.sqrt(obs_weights.get((marker_id, obs_idx), 1.0))) + residuals.append(w * float(r[0])) + residuals.append(w * float(r[1])) + + for constraint in constraints: + if isinstance(constraint, MarkerDistanceConstraint): + if constraint.marker_id_a in marker_dict and constraint.marker_id_b in marker_dict: + pos_a = marker_dict[constraint.marker_id_a] + pos_b = marker_dict[constraint.marker_id_b] + actual_dist = float(np.linalg.norm(pos_b - pos_a)) + residuals.append((actual_dist - constraint.target_distance_m) * constraint.weight * lambda_constraint) + + elif isinstance(constraint, JointAxisConstraint): + if constraint.marker_id_parent in marker_dict and constraint.marker_id_child in marker_dict: + pos_parent = marker_dict[constraint.marker_id_parent] + pos_child = marker_dict[constraint.marker_id_child] + delta = pos_child - pos_parent + actual_delta = float(np.dot(delta, constraint.joint_axis)) + residuals.append((actual_delta - constraint.target_delta_along_axis_m) * constraint.weight * lambda_constraint) + + return np.asarray(residuals, dtype=np.float64) + + +def optimize_with_constraints( + initial_positions: Dict[int, np.ndarray], + marker_observations: Dict[int, List[Observation]], + cameras: List[Tuple[np.ndarray, np.ndarray, np.ndarray, np.ndarray]], + constraints: List[Constraint], + obs_weights: Dict[Tuple[int, int], float], + lambda_constraint: float = 100.0, + max_iterations: int = 50 +) -> Dict[int, np.ndarray]: + try: + from scipy.optimize import least_squares + except ImportError: + print("[WARN] scipy not available, skipping optimization.") + return initial_positions + + marker_ids = sorted(initial_positions.keys()) + if not marker_ids: + return {} + + x0 = np.concatenate([initial_positions[mid] for mid in marker_ids]) + + def residuals_fn(x: np.ndarray) -> np.ndarray: + return bundle_adjustment_residuals( + x, marker_ids, marker_observations, cameras, constraints, obs_weights, lambda_constraint + ) + + print(f"[INFO] Starting optimization with {len(x0)} variables and {len(constraints)} constraints...") + + result = least_squares( + residuals_fn, + x0, + max_nfev=max_iterations * max(1, len(marker_ids)), + verbose=1, + ) + + optimized = {} + for i, marker_id in enumerate(marker_ids): + optimized[marker_id] = result.x[i * 3:(i + 1) * 3] + + print(f"[INFO] Optimization complete. Final cost: {float(np.sum(result.fun ** 2)):.6f}") + return optimized + + +# =================================================================== +# Reporting helpers +# =================================================================== + +def print_constraint_summary(constraints: List[Constraint]) -> None: + num_dist = sum(isinstance(c, MarkerDistanceConstraint) for c in constraints) + num_joint = sum(isinstance(c, JointAxisConstraint) for c in constraints) + print(f"[INFO] Constraint summary: total={len(constraints)} distance={num_dist} joint/chain={num_joint}") + + +def print_constraint_list(constraints: List[Constraint]) -> None: + print("\n[INFO] Constraint list:") + for idx, constraint in enumerate(constraints): + if isinstance(constraint, MarkerDistanceConstraint): + print( + f" [{idx:03d}] DISTANCE | " + f"Link='{constraint.link_name}' | " + f"M{constraint.marker_id_a} <-> M{constraint.marker_id_b} | " + f"Target={constraint.target_distance_m:.6f} m | " + f"Weight={constraint.weight} | " + f"Source={constraint.source}" + ) + else: + axis_str = np.array2string(constraint.joint_axis, precision=3, suppress_small=True) + print( + f" [{idx:03d}] JOINT_AXIS | " + f"{constraint.parent_link}(M{constraint.marker_id_parent}) -> " + f"{constraint.child_link}(M{constraint.marker_id_child}) | " + f"Axis={axis_str} | " + f"TargetDelta={constraint.target_delta_along_axis_m:.6f} m | " + f"Weight={constraint.weight} | " + f"Source={constraint.source}" + ) + + +def print_constraints_with_errors( + title: str, + constraints: List[Constraint], + positions: Dict[int, np.ndarray], + show_skipped: bool = True +) -> None: + print(f"\n[INFO] {title}") + + active = 0 + skipped = 0 + + for idx, constraint in enumerate(constraints): + if isinstance(constraint, MarkerDistanceConstraint): + if constraint.marker_id_a not in positions or constraint.marker_id_b not in positions: + skipped += 1 + if show_skipped: + print( + f" [{idx:03d}] DISTANCE | " + f"M{constraint.marker_id_a} <-> M{constraint.marker_id_b} | SKIPPED (missing marker)" + ) + continue + + pos_a = positions[constraint.marker_id_a] + pos_b = positions[constraint.marker_id_b] + actual = float(np.linalg.norm(pos_b - pos_a)) + error = actual - constraint.target_distance_m + active += 1 + + print( + f" [{idx:03d}] DISTANCE | " + f"Link='{constraint.link_name}' | " + f"M{constraint.marker_id_a} <-> M{constraint.marker_id_b} | " + f"target={constraint.target_distance_m*1000:.2f} mm | " + f"actual={actual*1000:.2f} mm | " + f"error={error*1000:+.2f} mm" + ) + + elif isinstance(constraint, JointAxisConstraint): + if constraint.marker_id_parent not in positions or constraint.marker_id_child not in positions: + skipped += 1 + if show_skipped: + print( + f" [{idx:03d}] JOINT_AXIS | " + f"M{constraint.marker_id_parent} -> M{constraint.marker_id_child} | SKIPPED (missing marker)" + ) + continue + + pos_parent = positions[constraint.marker_id_parent] + pos_child = positions[constraint.marker_id_child] + delta = pos_child - pos_parent + actual = float(np.dot(delta, constraint.joint_axis)) + error = actual - constraint.target_delta_along_axis_m + active += 1 + + axis_str = np.array2string(constraint.joint_axis, precision=2, suppress_small=True) + print( + f" [{idx:03d}] JOINT_AXIS | " + f"{constraint.parent_link}(M{constraint.marker_id_parent}) -> " + f"{constraint.child_link}(M{constraint.marker_id_child}) | " + f"axis={axis_str} | " + f"target={constraint.target_delta_along_axis_m*1000:.2f} mm | " + f"actual={actual*1000:.2f} mm | " + f"error={error*1000:+.2f} mm" + ) + + print(f"[INFO] Active constraints: {active} | Skipped: {skipped}") + + +def print_observation_weight_summary(obs_weights: Dict[Tuple[int, int], float]) -> None: + if not obs_weights: + print("[INFO] Observation weighting: disabled or empty") + return + values = np.array(list(obs_weights.values()), dtype=np.float64) + print( + "[INFO] Observation weights: " + f"min={values.min():.3f} mean={values.mean():.3f} " + f"median={np.median(values):.3f} max={values.max():.3f}" + ) + + +# =================================================================== +# Main +# =================================================================== + +def main() -> None: + parser = argparse.ArgumentParser( + description="Multi-view bundle adjustment with rule-based geometric constraints" + ) + parser.add_argument( + "-det", "--detections", + action="append", + required=True, + help="*_aruco_detection.json files" + ) + parser.add_argument( + "-pose", "--poses", + action="append", + required=True, + help="*_camera_pose.json files" + ) + parser.add_argument( + "-robot", "--robot", + required=True, + help="robot.json" + ) + parser.add_argument( + "-outDir", "--outDir", + default=None, + help="Output directory" + ) + parser.add_argument( + "-lambdaWeight", "--lambdaWeight", + type=float, + default=100.0, + help="Constraint weight multiplier" + ) + parser.add_argument( + "--strictUniqueMarkerIds", + action="store_true", + help="Fail if a marker ID appears more than once in robot.json" + ) + parser.add_argument( + "--showSkippedConstraints", + action="store_true", + help="Print skipped constraints in the report" + ) + parser.add_argument( + "--noShowSkippedConstraints", + action="store_true", + help="Hide skipped constraints in the report" + ) + parser.add_argument( + "--saveConstraintReport", + action="store_true", + help="Save constraint report JSON files" + ) + parser.add_argument( + "--saveObservationWeightReport", + action="store_true", + help="Save observation-weight report JSON file" + ) + + args = parser.parse_args() + + if args.showSkippedConstraints and args.noShowSkippedConstraints: + print("[ERROR] Choose only one of --showSkippedConstraints or --noShowSkippedConstraints") + sys.exit(1) + + if len(args.detections) != len(args.poses): + print(f"[ERROR] Mismatch: {len(args.detections)} detection files vs {len(args.poses)} pose files") + sys.exit(1) + + robot_data = load_json(args.robot) + length_scale = get_length_scale(robot_data) + cfg = load_constraint_rule_config(robot_data, args) + + print("[STEP 1] Compile constraints from robot.json structure...") + print( + "[INFO] Constraint families: " + f"rigid_distance={'on' if cfg.rigid_distance_enabled else 'off'}, " + f"revolute={'on' if cfg.revolute_axis_enabled else 'off'}, " + f"prismatic={'on' if cfg.prismatic_orthogonal_enabled else 'off'}, " + f"chain_legacy={'on' if cfg.chain_axis_enabled else 'off'}, " + f"observation_weights={'on' if cfg.enable_observation_weights else 'off'}" + ) + marker_to_link, link_markers, constraints, issues, marker_meta = compile_constraints(robot_data, length_scale, cfg) + + for issue in issues: + print(issue) + + print(f"[INFO] Links with markers: {sum(1 for v in link_markers.values() if len(v) > 0)}") + print(f"[INFO] Unique marker IDs: {len(marker_to_link)}") + print_constraint_summary(constraints) + print_constraint_list(constraints) + + print("\n[STEP 2] Load observations and camera poses...") + marker_observations, cameras, obs_metadata = load_observations_and_poses(args.detections, args.poses) + print(f"[INFO] {len(cameras)} cameras, {len(marker_observations)} observed markers") + print(f"[INFO] Detection files loaded: {len(obs_metadata)}") + + print("\n[STEP 3] Initial triangulation...") + initial_pos = initial_triangulation(marker_observations, cameras) + print(f"[INFO] Triangulated {len(initial_pos)} markers") + + out_dir = args.outDir or os.path.dirname(args.detections[0]) or "." + os.makedirs(resolve_path(out_dir), exist_ok=True) + + initial_output_markers = [] + for marker_id, position in sorted(initial_pos.items()): + initial_output_markers.append( + { + "marker_id": int(marker_id), + "position_m": [float(x) for x in position], + "position_mm": [float(x * 1000.0) for x in position], + "link": marker_to_link.get(marker_id, "unknown"), + } + ) + + initial_output = { + "schema_version": "1.2", + "stage": "initial_triangulation", + "created_utc": time.strftime("%Y-%m-%dT%H:%M:%SZ", time.gmtime()), + "summary": { + "num_cameras": len(cameras), + "num_markers": len(initial_pos), + "num_constraints": len(constraints), + }, + "markers": initial_output_markers, + } + initial_out_file = os.path.join(out_dir, "aruco_positions_initial.json") + save_json(initial_out_file, initial_output) + print(f"[INFO] Initial triangulation saved to {initial_out_file}") + + obs_weights = compute_observation_weights( + marker_observations=marker_observations, + cameras=cameras, + initial_positions=initial_pos, + marker_meta=marker_meta, + cfg=cfg, + robot_data=robot_data, + ) + print_observation_weight_summary(obs_weights) + + print_constraints_with_errors( + "Constraint list BEFORE optimization", + constraints, + initial_pos, + show_skipped=cfg.show_skipped_constraints, + ) + + print("\n[STEP 4] Bundle adjustment with constraints...") + optimized_pos = optimize_with_constraints( + initial_pos, + marker_observations, + cameras, + constraints, + obs_weights, + lambda_constraint=args.lambdaWeight, + ) + + print_constraints_with_errors( + "Constraint list AFTER optimization", + constraints, + optimized_pos, + show_skipped=cfg.show_skipped_constraints, + ) + + output_markers = [] + for marker_id, position in sorted(optimized_pos.items()): + output_markers.append( + { + "marker_id": int(marker_id), + "position_m": [float(x) for x in position], + "position_mm": [float(x * 1000.0) for x in position], + "link": marker_to_link.get(marker_id, "unknown"), + } + ) + + output = { + "schema_version": "1.2", + "created_utc": time.strftime("%Y-%m-%dT%H:%M:%SZ", time.gmtime()), + "summary": { + "num_cameras": len(cameras), + "num_markers": len(optimized_pos), + "num_constraints": len(constraints), + }, + "markers": output_markers, + } + out_file = os.path.join(out_dir, "aruco_positions_optimized.json") + save_json(out_file, output) + print(f"\n[INFO] Saved to {out_file}") + + if args.saveConstraintReport: + report = { + "schema_version": "1.0", + "created_utc": time.strftime("%Y-%m-%dT%H:%M:%SZ", time.gmtime()), + "summary": { + "num_constraints": len(constraints), + "num_links_with_markers": sum(1 for v in link_markers.values() if len(v) > 0), + "num_observed_markers": len(marker_observations), + "num_triangulated_markers": len(initial_pos), + "num_optimized_markers": len(optimized_pos), + }, + "constraints": [], + } + for c in constraints: + if isinstance(c, MarkerDistanceConstraint): + report["constraints"].append( + { + "kind": "distance", + "link_name": c.link_name, + "marker_id_a": c.marker_id_a, + "marker_id_b": c.marker_id_b, + "target_distance_m": c.target_distance_m, + "weight": c.weight, + "source": c.source, + } + ) + else: + report["constraints"].append( + { + "kind": "joint_axis", + "parent_link": c.parent_link, + "child_link": c.child_link, + "marker_id_parent": c.marker_id_parent, + "marker_id_child": c.marker_id_child, + "joint_axis": [float(x) for x in c.joint_axis], + "target_delta_along_axis_m": c.target_delta_along_axis_m, + "weight": c.weight, + "source": c.source, + } + ) + report_file = os.path.join(out_dir, "constraint_report.json") + save_json(report_file, report) + print(f"[INFO] Constraint report saved to {report_file}") + + if args.saveObservationWeightReport: + obs_report = { + "schema_version": "1.0", + "created_utc": time.strftime("%Y-%m-%dT%H:%M:%SZ", time.gmtime()), + "summary": { + "num_weighted_observations": len(obs_weights), + }, + "observation_weights": [ + { + "marker_id": int(mid), + "observation_index": int(obs_idx), + "weight": float(w), + } + for (mid, obs_idx), w in sorted(obs_weights.items()) + ], + } + obs_file = os.path.join(out_dir, "observation_weight_report.json") + save_json(obs_file, obs_report) + print(f"[INFO] Observation-weight report saved to {obs_file}") + + +if __name__ == "__main__": + main() diff --git a/pipeline/4_robotState_estimation_seq.py b/pipeline/4_robotState_estimation_seq.py new file mode 100644 index 0000000..d72dcf5 --- /dev/null +++ b/pipeline/4_robotState_estimation_seq.py @@ -0,0 +1,1182 @@ +#!/usr/bin/env python3 +""" +4_robotState_estimation_v2.py + +Sequential robot-state estimation from optimized 3D ArUco marker positions. + +Mathematical idea +----------------- +This script estimates a robot state q from already optimized marker positions p_i^obs. + +The robot state consists of: + - a world pose for the root link (translation + rotation) + - one scalar variable for each actuated joint + +Forward kinematics predicts each marker position: + p_i^pred(q) = T_world(link(i); q) * p_i^local + +Instead of solving the whole robot at once, we solve it sequentially by kinematic prefix: + stage 0: root link + stage 1: root + first child layer + stage 2: root + first three connected elements ... + ... +Each stage reuses the previous solution as initialization and only activates the +joint variables that belong to the current kinematic prefix. + +The residual minimized at each stage is: + sum_i w_i ||p_i^pred(q) - p_i^obs||^2 + + weak priors on the active joint values + + weak prior on the root pose + +This is intentionally conservative and debuggable. It is designed so that: + - early links can be resolved first, + - later links only refine an already plausible state, + - one visible marker on an early rigid prefix can already fix a lot of state, + - ambiguous branches can later be resolved by adding more links. + +Optional future extension: + raw detections + camera poses can be added later as visibility / normal cues, + but this script intentionally works directly from aruco_positions_optimized*.json. + +Dependencies +------------ +numpy, scipy (optional but strongly recommended) +""" + +from __future__ import annotations + +import argparse +import json +import math +import os +import sys +import time +from dataclasses import dataclass +from typing import Any, Dict, List, Optional, Tuple + +import numpy as np + + +# ============================================================================= +# JSON / path helpers +# ============================================================================= + +def resolve_path(path: str) -> str: + path = os.path.expanduser(path) + if os.path.isabs(path): + return path + return os.path.abspath(path) + + +def load_json(path: str) -> Any: + with open(resolve_path(path), "r", encoding="utf-8") as f: + return json.load(f) + + +def save_json(path: str, data: Any) -> None: + with open(resolve_path(path), "w", encoding="utf-8") as f: + json.dump(data, f, indent=2) + + +# ============================================================================= +# Small math helpers +# ============================================================================= + +def safe_norm(v: np.ndarray, eps: float = 1e-12) -> float: + return float(np.linalg.norm(v) + eps) + + +def normalize(v: np.ndarray, eps: float = 1e-12) -> np.ndarray: + v = np.asarray(v, dtype=np.float64) + return v / safe_norm(v, eps) + + +def get_length_scale(robot_data: Dict[str, Any]) -> float: + units = robot_data.get("units", {}) or {} + length_unit = str(units.get("length", "")).strip().lower() + if length_unit in ("mm", "millimeter", "millimeters"): + return 1.0 / 1000.0 + if length_unit in ("cm", "centimeter", "centimeters"): + return 1.0 / 100.0 + return 1.0 + + +def rotation_matrix_xyz(rx: float, ry: float, rz: float, degrees: bool = False) -> np.ndarray: + """Rotation order: X then Y then Z.""" + if degrees: + rx, ry, rz = math.radians(rx), math.radians(ry), math.radians(rz) + + cx, sx = math.cos(rx), math.sin(rx) + cy, sy = math.cos(ry), math.sin(ry) + cz, sz = math.cos(rz), math.sin(rz) + + rx_m = np.array([[1.0, 0.0, 0.0], + [0.0, cx, -sx], + [0.0, sx, cx]], dtype=np.float64) + ry_m = np.array([[cy, 0.0, sy], + [0.0, 1.0, 0.0], + [-sy, 0.0, cy]], dtype=np.float64) + rz_m = np.array([[cz, -sz, 0.0], + [sz, cz, 0.0], + [0.0, 0.0, 1.0]], dtype=np.float64) + return rz_m @ ry_m @ rx_m + + +def axis_angle_rotation(axis: np.ndarray, angle_rad: float) -> np.ndarray: + axis = normalize(axis) + x, y, z = axis + c = math.cos(angle_rad) + s = math.sin(angle_rad) + C = 1.0 - c + return np.array([ + [c + x * x * C, x * y * C - z * s, x * z * C + y * s], + [y * x * C + z * s, c + y * y * C, y * z * C - x * s], + [z * x * C - y * s, z * y * C + x * s, c + z * z * C] + ], dtype=np.float64) + + +def make_transform(R: Optional[np.ndarray] = None, t: Optional[np.ndarray] = None) -> np.ndarray: + T = np.eye(4, dtype=np.float64) + if R is not None: + T[:3, :3] = np.asarray(R, dtype=np.float64) + if t is not None: + T[:3, 3] = np.asarray(t, dtype=np.float64).reshape(3) + return T + + +def transform_point(T: np.ndarray, p: np.ndarray) -> np.ndarray: + p4 = np.ones(4, dtype=np.float64) + p4[:3] = np.asarray(p, dtype=np.float64).reshape(3) + return (T @ p4)[:3] + + +def matrix_to_euler_xyz(R: np.ndarray) -> np.ndarray: + """Return XYZ Euler angles in degrees.""" + R = np.asarray(R, dtype=np.float64) + sy = math.sqrt(R[0, 0] * R[0, 0] + R[1, 0] * R[1, 0]) + singular = sy < 1e-9 + + if not singular: + x = math.atan2(R[2, 1], R[2, 2]) + y = math.atan2(-R[2, 0], sy) + z = math.atan2(R[1, 0], R[0, 0]) + else: + x = math.atan2(-R[1, 2], R[1, 1]) + y = math.atan2(-R[2, 0], sy) + z = 0.0 + return np.degrees([x, y, z]) + + +def wrap_angle_rad(a: float) -> float: + return (a + math.pi) % (2.0 * math.pi) - math.pi + + +def kabsch(P: np.ndarray, Q: np.ndarray, W: Optional[np.ndarray] = None) -> Tuple[np.ndarray, np.ndarray]: + """Find R, t such that R @ P + t ≈ Q.""" + P = np.asarray(P, dtype=np.float64) + Q = np.asarray(Q, dtype=np.float64) + assert P.shape == Q.shape and P.shape[1] == 3 + + if W is None: + W = np.ones(len(P), dtype=np.float64) + W = np.asarray(W, dtype=np.float64).reshape(-1) + W = np.maximum(W, 1e-12) + W = W / np.sum(W) + + p_cent = np.sum(P * W[:, None], axis=0) + q_cent = np.sum(Q * W[:, None], axis=0) + + P0 = P - p_cent + Q0 = Q - q_cent + H = (P0 * W[:, None]).T @ Q0 + + U, S, Vt = np.linalg.svd(H) + R = Vt.T @ U.T + if np.linalg.det(R) < 0: + Vt[-1, :] *= -1.0 + R = Vt.T @ U.T + t = q_cent - R @ p_cent + return R, t + + +# ============================================================================= +# Data structures +# ============================================================================= + +@dataclass +class MarkerInfo: + marker_id: int + link_name: str + local_pos_m: np.ndarray + size: Optional[float] = None + normal: Optional[np.ndarray] = None + name: str = "" + + +@dataclass +class LinkInfo: + name: str + parent: Optional[str] + joint_type: Optional[str] + joint_axis: Optional[np.ndarray] + joint_origin_m: np.ndarray + joint_rotation_deg: np.ndarray + joint_variable: Optional[str] + mount_position_m: np.ndarray + mount_rotation_deg: np.ndarray + markers: List[MarkerInfo] + + +@dataclass +class StageResult: + depth: int + active_links: List[str] + active_joint_vars: List[str] + mean_error_m: Optional[float] + rms_error_m: Optional[float] + worst_error_m: Optional[float] + num_markers_used: int + optimizer_info: Dict[str, Any] + + +@dataclass +class EstimationConfig: + root_pose_prior_weight: float = 0.1 + joint_prior_weight: float = 0.05 + marker_base_weight: float = 1.0 + robust_loss: str = "soft_l1" + max_iterations: int = 120 + include_joint_prior: bool = True + include_root_prior: bool = True + sequential: bool = True + show_stage_reports: bool = True + + +# ============================================================================= +# Robot parsing +# ============================================================================= + +def parse_robot(robot_data: Dict[str, Any]) -> Tuple[Dict[str, LinkInfo], Dict[int, MarkerInfo], List[str]]: + length_scale = get_length_scale(robot_data) + links = robot_data.get("links", {}) or {} + + link_infos: Dict[str, LinkInfo] = {} + marker_by_id: Dict[int, MarkerInfo] = {} + issues: List[str] = [] + + for link_name, link_data in links.items(): + parent = link_data.get("parent", None) + + joint = link_data.get("jointToParent", {}) or {} + joint_type = joint.get("type", None) + + axis = joint.get("axis", None) + if axis is not None: + axis = np.asarray(axis, dtype=np.float64) + if safe_norm(axis) > 1e-12: + axis = normalize(axis) + else: + axis = None + + joint_origin = np.asarray(joint.get("origin", [0, 0, 0]), dtype=np.float64) * float(length_scale) + joint_rotation_deg = np.asarray(joint.get("rotation", [0, 0, 0]), dtype=np.float64) + joint_variable = joint.get("variable", None) + + mount_position = np.asarray(link_data.get("mountPosition", [0, 0, 0]), dtype=np.float64) * float(length_scale) + mount_rotation_deg = np.asarray(link_data.get("mountRotation", [0, 0, 0]), dtype=np.float64) + + markers_data = link_data.get("markers", []) or [] + markers: List[MarkerInfo] = [] + for idx, m in enumerate(markers_data): + marker_id = int(m.get("id", -1)) + pos = m.get("position", None) + + if marker_id < 0 or pos is None or len(pos) != 3: + issues.append(f"[WARN] link='{link_name}': skipped invalid marker entry at index {idx}") + continue + + if marker_id in marker_by_id: + issues.append( + f"[WARN] duplicate marker ID {marker_id} in link '{link_name}' " + f"(already in '{marker_by_id[marker_id].link_name}'); using first occurrence" + ) + continue + + normal = None + if "normal" in m and isinstance(m["normal"], list) and len(m["normal"]) == 3: + normal = np.asarray(m["normal"], dtype=np.float64) + + marker = MarkerInfo( + marker_id=marker_id, + link_name=link_name, + local_pos_m=np.asarray(pos, dtype=np.float64) * float(length_scale), + size=m.get("size", None), + normal=normal, + name=str(m.get("name", f"marker_{marker_id}")), + ) + markers.append(marker) + marker_by_id[marker_id] = marker + + link_infos[link_name] = LinkInfo( + name=link_name, + parent=parent, + joint_type=joint_type, + joint_axis=axis, + joint_origin_m=joint_origin, + joint_rotation_deg=joint_rotation_deg, + joint_variable=joint_variable, + mount_position_m=mount_position, + mount_rotation_deg=mount_rotation_deg, + markers=markers, + ) + + return link_infos, marker_by_id, issues + + +def topological_links(link_infos: Dict[str, LinkInfo]) -> List[str]: + children = {name: [] for name in link_infos} + roots = [] + for name, info in link_infos.items(): + if info.parent is None: + roots.append(name) + else: + children.setdefault(info.parent, []).append(name) + + order: List[str] = [] + queue = list(roots) + seen = set() + + while queue: + cur = queue.pop(0) + if cur in seen: + continue + seen.add(cur) + order.append(cur) + for ch in children.get(cur, []): + queue.append(ch) + + for name in link_infos: + if name not in seen: + order.append(name) + return order + + +def compute_link_depths(link_infos: Dict[str, LinkInfo]) -> Dict[str, int]: + depths: Dict[str, int] = {} + + def depth_of(name: str) -> int: + if name in depths: + return depths[name] + info = link_infos[name] + if info.parent is None: + depths[name] = 0 + else: + depths[name] = depth_of(info.parent) + 1 + return depths[name] + + for name in link_infos: + depth_of(name) + return depths + + +# ============================================================================= +# Marker weights +# ============================================================================= + +def marker_weight(marker_info: MarkerInfo, base_weight: float = 1.0, ref_size: float = 25.0) -> float: + """ + Weight the marker residuals lightly by marker size. + Larger markers tend to be more stable in image space. + """ + w = base_weight + if marker_info.size is not None: + try: + size = float(marker_info.size) + if size > 0: + w *= max(0.35, math.sqrt(size / ref_size)) + except Exception: + pass + return w + + +# ============================================================================= +# Forward kinematics +# ============================================================================= + +def link_static_transform(link: LinkInfo) -> np.ndarray: + Rm = rotation_matrix_xyz(*link.mount_rotation_deg, degrees=True) + return make_transform(Rm, link.mount_position_m) + + +def joint_motion_transform(link: LinkInfo, q_value: float) -> np.ndarray: + joint_type = (link.joint_type or "").strip().lower() + if link.joint_axis is None: + return np.eye(4, dtype=np.float64) + + axis = normalize(link.joint_axis) + if joint_type == "linear": + return make_transform(np.eye(3), axis * float(q_value)) + if joint_type == "revolute": + return make_transform(axis_angle_rotation(axis, float(q_value)), np.zeros(3)) + return np.eye(4, dtype=np.float64) + + +def world_to_link_transform( + link_name: str, + link_infos: Dict[str, LinkInfo], + state: Dict[str, Any], + cache: Dict[str, np.ndarray], +) -> np.ndarray: + if link_name in cache: + return cache[link_name] + + link = link_infos[link_name] + if link.parent is None: + T = make_transform(state["root_R"], state["root_t"]) + cache[link_name] = T + return T + + parent_T = world_to_link_transform(link.parent, link_infos, state, cache) + + # Convention: + # parent frame -> joint origin -> joint motion -> static joint rotation -> child mount transform + T = parent_T @ make_transform(np.eye(3), link.joint_origin_m) + + q = state["joint_values"].get(link.joint_variable, state["joint_defaults"].get(link.joint_variable, 0.0)) + T = T @ joint_motion_transform(link, q) + + R_static = rotation_matrix_xyz(*link.joint_rotation_deg, degrees=True) + T = T @ make_transform(R_static, np.zeros(3)) + + T = T @ link_static_transform(link) + + cache[link_name] = T + return T + + +def predict_marker_positions( + link_infos: Dict[str, LinkInfo], + state: Dict[str, Any], +) -> Dict[int, np.ndarray]: + pred: Dict[int, np.ndarray] = {} + cache: Dict[str, np.ndarray] = {} + for link_name, link in link_infos.items(): + T = world_to_link_transform(link_name, link_infos, state, cache) + for marker in link.markers: + pred[marker.marker_id] = transform_point(T, marker.local_pos_m) + return pred + + +# ============================================================================= +# Initial parameters +# ============================================================================= + +def infer_joint_defaults(robot_data: Dict[str, Any], link_infos: Dict[str, LinkInfo]) -> Dict[str, float]: + defaults_raw = robot_data.get("defaultPosition", {}) or {} + out: Dict[str, float] = {} + + for link in link_infos.values(): + var = link.joint_variable + if not var: + continue + raw_val = defaults_raw.get(var, 0.0) + joint_type = (link.joint_type or "").strip().lower() + if joint_type == "linear": + out[var] = float(raw_val) * get_length_scale(robot_data) + elif joint_type == "revolute": + out[var] = math.radians(float(raw_val)) + else: + out[var] = float(raw_val) + return out + + +def initial_root_pose( + link_infos: Dict[str, LinkInfo], + observed_markers: Dict[int, Dict[str, Any]], +) -> Tuple[np.ndarray, np.ndarray]: + roots = [name for name, info in link_infos.items() if info.parent is None] + if not roots: + return np.eye(3, dtype=np.float64), np.zeros(3, dtype=np.float64) + + root = roots[0] + root_info = link_infos[root] + + P = [] + Q = [] + W = [] + + for marker in root_info.markers: + if marker.marker_id in observed_markers: + obs = np.asarray(observed_markers[marker.marker_id]["position_m"], dtype=np.float64) + P.append(marker.local_pos_m) + Q.append(obs) + W.append(marker_weight(marker, base_weight=1.0)) + + if len(P) >= 3: + return kabsch(np.asarray(P), np.asarray(Q), np.asarray(W)) + + return np.eye(3, dtype=np.float64), np.zeros(3, dtype=np.float64) + + +def build_initial_state( + robot_data: Dict[str, Any], + link_infos: Dict[str, LinkInfo], + observed_markers: Dict[int, Dict[str, Any]], +) -> Dict[str, Any]: + root_R, root_t = initial_root_pose(link_infos, observed_markers) + joint_defaults = infer_joint_defaults(robot_data, link_infos) + + return { + "root_R": root_R, + "root_t": root_t, + "joint_defaults": joint_defaults, + "joint_values": dict(joint_defaults), + } + + +# ============================================================================= +# Stage helpers +# ============================================================================= + +def active_links_for_depth(link_infos: Dict[str, LinkInfo], depths: Dict[str, int], max_depth: int) -> List[str]: + ordered = topological_links(link_infos) + return [name for name in ordered if depths.get(name, 0) <= max_depth] + + +def active_joint_vars_for_links(link_infos: Dict[str, LinkInfo], active_links: List[str]) -> List[str]: + vars_out: List[str] = [] + seen = set() + for name in active_links: + link = link_infos[name] + if not link.joint_variable: + continue + if link.joint_variable in seen: + continue + seen.add(link.joint_variable) + vars_out.append(link.joint_variable) + return vars_out + + +def active_observations_for_links( + link_infos: Dict[str, LinkInfo], + observed_markers: Dict[int, Dict[str, Any]], + active_links: List[str], +) -> Dict[int, Dict[str, Any]]: + allowed_links = set(active_links) + out: Dict[int, Dict[str, Any]] = {} + for marker_id, obs in observed_markers.items(): + link_name = obs.get("link", None) + if link_name in allowed_links: + out[marker_id] = obs + return out + + +def stage_variables_to_vector( + state: Dict[str, Any], + active_joint_vars: List[str], +) -> np.ndarray: + try: + from scipy.spatial.transform import Rotation + root_rvec = Rotation.from_matrix(state["root_R"]).as_rotvec() + except Exception: + root_rvec = np.zeros(3, dtype=np.float64) + + root_t = np.asarray(state["root_t"], dtype=np.float64).reshape(3) + values = list(root_t) + list(np.asarray(root_rvec, dtype=np.float64)) + for var in active_joint_vars: + values.append(float(state["joint_values"].get(var, state["joint_defaults"].get(var, 0.0)))) + return np.asarray(values, dtype=np.float64) + + +def vector_to_stage_state( + x: np.ndarray, + template_state: Dict[str, Any], + active_joint_vars: List[str], +) -> Dict[str, Any]: + try: + from scipy.spatial.transform import Rotation + except Exception: + Rotation = None + + x = np.asarray(x, dtype=np.float64).reshape(-1) + + out = { + "root_t": x[0:3].copy(), + "root_R": template_state["root_R"].copy(), + "joint_defaults": dict(template_state["joint_defaults"]), + "joint_values": dict(template_state["joint_values"]), + } + + root_rvec = x[3:6].copy() + if Rotation is not None: + out["root_R"] = Rotation.from_rotvec(root_rvec).as_matrix() + else: + angle = safe_norm(root_rvec) + if angle < 1e-12: + out["root_R"] = np.eye(3, dtype=np.float64) + else: + out["root_R"] = axis_angle_rotation(root_rvec / angle, angle) + + idx = 6 + for var in active_joint_vars: + if idx >= len(x): + break + out["joint_values"][var] = float(x[idx]) + idx += 1 + + return out + + +def residuals_stage( + x: np.ndarray, + link_infos: Dict[str, LinkInfo], + observed_markers: Dict[int, Dict[str, Any]], + template_state: Dict[str, Any], + active_joint_vars: List[str], + cfg: EstimationConfig, +) -> np.ndarray: + state = vector_to_stage_state(x, template_state, active_joint_vars) + pred = predict_marker_positions(link_infos, state) + + res: List[float] = [] + + # Marker residuals + for marker_id, obs in observed_markers.items(): + if marker_id not in pred: + continue + + link_name = obs.get("link", None) + marker = None + if link_name is not None and link_name in link_infos: + for m in link_infos[link_name].markers: + if m.marker_id == marker_id: + marker = m + break + if marker is None: + continue + + w = marker_weight(marker, base_weight=cfg.marker_base_weight) + sqrt_w = math.sqrt(max(1e-12, w)) + + p_obs = np.asarray(obs["position_m"], dtype=np.float64) + p_pred = pred[marker_id] + d = (p_pred - p_obs) * sqrt_w + res.extend(d.tolist()) + + # Root prior + if cfg.include_root_prior: + root_t_prior = np.asarray(template_state["root_t"], dtype=np.float64) + try: + from scipy.spatial.transform import Rotation + root_rvec_prior = Rotation.from_matrix(template_state["root_R"]).as_rotvec() + except Exception: + root_rvec_prior = np.zeros(3, dtype=np.float64) + + root_t = x[0:3] + root_rvec = x[3:6] + w = math.sqrt(max(1e-12, cfg.root_pose_prior_weight)) + res.extend(((root_t - root_t_prior) * w).tolist()) + res.extend(((root_rvec - root_rvec_prior) * w).tolist()) + + # Joint priors + if cfg.include_joint_prior: + idx = 6 + w = math.sqrt(max(1e-12, cfg.joint_prior_weight)) + for var in active_joint_vars: + if idx >= len(x): + break + q = x[idx] + q0 = template_state["joint_defaults"].get(var, 0.0) + # Revolute angles should not wrap too aggressively during optimization, + # but the prior itself should be short-arc. + if abs(q0) <= math.pi * 2.5: + dq = wrap_angle_rad(float(q - q0)) + else: + dq = float(q - q0) + res.append(dq * w) + idx += 1 + + return np.asarray(res, dtype=np.float64) + + +def optimize_stage( + link_infos: Dict[str, LinkInfo], + observed_markers: Dict[int, Dict[str, Any]], + template_state: Dict[str, Any], + active_joint_vars: List[str], + cfg: EstimationConfig, +) -> Tuple[Dict[str, Any], Dict[str, Any]]: + try: + from scipy.optimize import least_squares + except ImportError: + print("[WARN] scipy not available; returning template state for this stage.") + return template_state, {"success": False, "message": "scipy unavailable"} + + x0 = stage_variables_to_vector(template_state, active_joint_vars) + + print(f"[INFO] Stage variables: {len(x0)} (root pose + {len(active_joint_vars)} active joints)") + + result = least_squares( + lambda x: residuals_stage(x, link_infos, observed_markers, template_state, active_joint_vars, cfg), + x0, + loss=cfg.robust_loss, + f_scale=1.0, + max_nfev=cfg.max_iterations, + verbose=1, + ) + + final_state = vector_to_stage_state(result.x, template_state, active_joint_vars) + opt_info = { + "cost": float(np.sum(result.fun ** 2)), + "success": bool(result.success), + "status": int(result.status), + "message": str(result.message), + "nfev": int(result.nfev), + "njev": int(getattr(result, "njev", -1)), + } + final_state["_optimizer"] = opt_info + return final_state, opt_info + + +def compute_error_stats( + link_infos: Dict[str, LinkInfo], + state: Dict[str, Any], + observed_markers: Dict[int, Dict[str, Any]], +) -> Tuple[List[Dict[str, Any]], Dict[str, Any]]: + pred = predict_marker_positions(link_infos, state) + + marker_reports: List[Dict[str, Any]] = [] + errors = [] + + marker_to_link = {} + marker_meta = {} + for link in link_infos.values(): + for m in link.markers: + marker_to_link[m.marker_id] = link.name + marker_meta[m.marker_id] = m + + for marker_id, obs in observed_markers.items(): + if marker_id not in pred: + continue + + p_obs = np.asarray(obs["position_m"], dtype=np.float64) + p_pred = pred[marker_id] + err = p_pred - p_obs + err_norm = float(np.linalg.norm(err)) + errors.append(err_norm) + + m = marker_meta.get(marker_id) + marker_reports.append( + { + "marker_id": int(marker_id), + "link": marker_to_link.get(marker_id, "unknown"), + "observed_position_m": [float(x) for x in p_obs], + "predicted_position_m": [float(x) for x in p_pred], + "error_m": [float(x) for x in err], + "error_norm_m": err_norm, + "error_norm_mm": err_norm * 1000.0, + "marker_size": None if m is None else m.size, + } + ) + + if errors: + arr = np.asarray(errors, dtype=np.float64) + stats = { + "num_markers_used": int(len(errors)), + "mean_error_m": float(np.mean(arr)), + "median_error_m": float(np.median(arr)), + "rms_error_m": float(np.sqrt(np.mean(arr ** 2))), + "worst_error_m": float(np.max(arr)), + "p80_error_m": float(np.quantile(arr, 0.80)), + "p90_error_m": float(np.quantile(arr, 0.90)), + } + else: + stats = { + "num_markers_used": 0, + "mean_error_m": None, + "median_error_m": None, + "rms_error_m": None, + "worst_error_m": None, + "p80_error_m": None, + "p90_error_m": None, + } + + return marker_reports, stats + + +def print_stage_stats(stage_idx: int, depth: int, stage_result: StageResult) -> None: + print( + f"[INFO] Stage {stage_idx} (depth={depth}) | " + f"active_links={len(stage_result.active_links)} | " + f"active_joint_vars={len(stage_result.active_joint_vars)} | " + f"markers={stage_result.num_markers_used}" + ) + if stage_result.mean_error_m is not None: + print( + f"[INFO] Stage {stage_idx} error: " + f"mean={stage_result.mean_error_m*1000.0:.2f} mm | " + f"rms={stage_result.rms_error_m*1000.0:.2f} mm | " + f"worst={stage_result.worst_error_m*1000.0:.2f} mm" + ) + if stage_result.optimizer_info: + print( + f"[INFO] Stage {stage_idx} optimizer: " + f"success={stage_result.optimizer_info.get('success', False)} | " + f"nfev={stage_result.optimizer_info.get('nfev', -1)} | " + f"cost={stage_result.optimizer_info.get('cost', 0.0):.6f}" + ) + + +def sequential_optimize_state( + robot_data: Dict[str, Any], + link_infos: Dict[str, LinkInfo], + observed_markers: Dict[int, Dict[str, Any]], + initial_state: Dict[str, Any], + cfg: EstimationConfig, +) -> Tuple[Dict[str, Any], List[StageResult]]: + """ + Sequential prefix optimization: + - solve links up to depth 0, + - then depth 1, + - then depth 2, ... + Each new stage starts from the previous state and only activates the + joint variables that belong to the current prefix. + """ + depths = compute_link_depths(link_infos) + max_depth = max(depths.values()) if depths else 0 + + current_state = { + "root_R": initial_state["root_R"].copy(), + "root_t": initial_state["root_t"].copy(), + "joint_defaults": dict(initial_state["joint_defaults"]), + "joint_values": dict(initial_state["joint_values"]), + } + + stage_results: List[StageResult] = [] + + for depth in range(0, max_depth + 1): + active_links = active_links_for_depth(link_infos, depths, depth) + active_joint_vars = active_joint_vars_for_links(link_infos, active_links) + active_obs = active_observations_for_links(link_infos, observed_markers, active_links) + + # If a stage introduces no observations, we still may want the chain prefix, + # but there is nothing to fit against. In that case just keep the current state. + if len(active_obs) == 0: + stage_state = current_state + stage_res = StageResult( + depth=depth, + active_links=active_links, + active_joint_vars=active_joint_vars, + mean_error_m=None, + rms_error_m=None, + worst_error_m=None, + num_markers_used=0, + optimizer_info={"skipped": True, "reason": "no active observations"}, + ) + stage_results.append(stage_res) + if cfg.show_stage_reports: + print_stage_stats(len(stage_results) - 1, depth, stage_res) + continue + + # Optimize only the active prefix variables. + template_state = current_state + optimized_state, opt_info = optimize_stage( + link_infos=link_infos, + observed_markers=active_obs, + template_state=template_state, + active_joint_vars=active_joint_vars, + cfg=cfg, + ) + + # Merge optimized active values into the running state. + current_state["root_R"] = optimized_state["root_R"].copy() + current_state["root_t"] = optimized_state["root_t"].copy() + current_state["joint_values"].update(optimized_state["joint_values"]) + + # Evaluate the active prefix after the stage. + marker_reports, stats = compute_error_stats(link_infos, current_state, active_obs) + + stage_res = StageResult( + depth=depth, + active_links=active_links, + active_joint_vars=active_joint_vars, + mean_error_m=stats["mean_error_m"], + rms_error_m=stats["rms_error_m"], + worst_error_m=stats["worst_error_m"], + num_markers_used=stats["num_markers_used"], + optimizer_info=opt_info, + ) + stage_results.append(stage_res) + + if cfg.show_stage_reports: + print_stage_stats(len(stage_results) - 1, depth, stage_res) + + if stage_results: + current_state["_optimizer"] = stage_results[-1].optimizer_info + return current_state, stage_results + + +# ============================================================================= +# Output +# ============================================================================= + +def state_to_json( + robot_data: Dict[str, Any], + link_infos: Dict[str, LinkInfo], + state: Dict[str, Any], + observed_markers: Dict[int, Dict[str, Any]], + marker_reports: List[Dict[str, Any]], + stats: Dict[str, Any], + input_file: str, + robot_file: str, + stage_results: List[StageResult], +) -> Dict[str, Any]: + movements = {} + for link_name in topological_links(link_infos): + link = link_infos[link_name] + if not link.joint_variable: + continue + + q = state["joint_values"].get(link.joint_variable, state["joint_defaults"].get(link.joint_variable, 0.0)) + joint_type = (link.joint_type or "").strip().lower() + + if joint_type == "revolute": + movements[link.joint_variable] = { + "value_rad": float(q), + "value_deg": float(math.degrees(q)), + "joint_type": joint_type, + "link": link_name, + } + elif joint_type == "linear": + movements[link.joint_variable] = { + "value_m": float(q), + "value_mm": float(q * 1000.0), + "joint_type": joint_type, + "link": link_name, + } + else: + movements[link.joint_variable] = { + "value": float(q), + "joint_type": joint_type, + "link": link_name, + } + + link_pose_entries = [] + cache: Dict[str, np.ndarray] = {} + for link_name in topological_links(link_infos): + T = world_to_link_transform(link_name, link_infos, state, cache) + R = T[:3, :3] + t = T[:3, 3] + link = link_infos[link_name] + num_used = sum(1 for m in link.markers if m.marker_id in observed_markers) + link_pose_entries.append( + { + "link": link_name, + "parent": link.parent, + "position_m": [float(x) for x in t], + "rotation_matrix": [[float(v) for v in row] for row in R], + "euler_xyz_deg": [float(x) for x in matrix_to_euler_xyz(R)], + "num_observed_markers": int(num_used), + "num_markers_total": int(len(link.markers)), + } + ) + + root_link = next((name for name, info in link_infos.items() if info.parent is None), None) + root_T = make_transform(state["root_R"], state["root_t"]) + + out = { + "schema_version": "2.0", + "created_utc": time.strftime("%Y-%m-%dT%H:%M:%SZ", time.gmtime()), + "source": { + "marker_positions_file": input_file, + "robot_file": robot_file, + }, + "summary": { + "num_links": int(len(link_infos)), + "num_observed_markers": int(len(observed_markers)), + "num_link_markers": int(sum(len(li.markers) for li in link_infos.values())), + "root_link": root_link, + "optimizer": state.get("_optimizer", {}), + "fit_stats": stats, + "stages": [ + { + "depth": int(s.depth), + "active_links": s.active_links, + "active_joint_vars": s.active_joint_vars, + "mean_error_m": s.mean_error_m, + "rms_error_m": s.rms_error_m, + "worst_error_m": s.worst_error_m, + "num_markers_used": int(s.num_markers_used), + "optimizer_info": s.optimizer_info, + } + for s in stage_results + ], + }, + "world_pose": { + "root_translation_m": [float(x) for x in root_T[:3, 3]], + "root_rotation_matrix": [[float(v) for v in row] for row in root_T[:3, :3]], + "root_euler_xyz_deg": [float(x) for x in matrix_to_euler_xyz(root_T[:3, :3])], + }, + "movements": movements, + "links": link_pose_entries, + "markers": marker_reports, + } + + return out + + +# ============================================================================= +# Main +# ============================================================================= + +def main() -> None: + parser = argparse.ArgumentParser( + description="Sequential robot state estimation from optimized ArUco marker positions" + ) + parser.add_argument( + "optimized_markers", + help="aruco_positions_optimized*.json" + ) + parser.add_argument( + "-robot", "--robot", + required=True, + help="robot.json" + ) + parser.add_argument( + "-out", "--out", + default=None, + help="Output robot_state.json path" + ) + parser.add_argument( + "--maxIterations", + type=int, + default=120, + help="Maximum least-squares iterations per stage" + ) + parser.add_argument( + "--jointPriorWeight", + type=float, + default=0.05, + help="Prior weight for joint variables" + ) + parser.add_argument( + "--rootPosePriorWeight", + type=float, + default=0.1, + help="Prior weight for root pose" + ) + parser.add_argument( + "--markerBaseWeight", + type=float, + default=1.0, + help="Base weight for marker residuals" + ) + parser.add_argument( + "--noJointPrior", + action="store_true", + help="Disable joint priors" + ) + parser.add_argument( + "--noRootPrior", + action="store_true", + help="Disable root pose prior" + ) + parser.add_argument( + "--noSequential", + action="store_true", + help="Disable sequential prefix optimization and do one global pass" + ) + + args = parser.parse_args() + + print("[STEP 1] Load robot.json and optimized marker positions...") + robot_data = load_json(args.robot) + link_infos, marker_by_id, issues = parse_robot(robot_data) + observed_markers = load_json(args.optimized_markers) + markers = observed_markers.get("markers", []) if isinstance(observed_markers, dict) else [] + + observed_map: Dict[int, Dict[str, Any]] = {} + for m in markers: + marker_id = int(m["marker_id"]) + observed_map[marker_id] = m + + for issue in issues: + print(issue) + + print(f"[INFO] Links: {len(link_infos)}") + print(f"[INFO] Known robot markers: {len(marker_by_id)}") + print(f"[INFO] Observed optimized markers: {len(observed_map)}") + + print("\n[STEP 2] Build initial robot state...") + initial_state = build_initial_state(robot_data, link_infos, observed_map) + print(f"[INFO] Initial root translation (m): {initial_state['root_t']}") + print(f"[INFO] Initial joint defaults: {initial_state['joint_defaults']}") + + cfg = EstimationConfig( + root_pose_prior_weight=float(args.rootPosePriorWeight), + joint_prior_weight=float(args.jointPriorWeight), + marker_base_weight=float(args.markerBaseWeight), + robust_loss="soft_l1", + max_iterations=int(args.maxIterations), + include_joint_prior=not args.noJointPrior, + include_root_prior=not args.noRootPrior, + sequential=not args.noSequential, + show_stage_reports=True, + ) + + print("\n[STEP 3] Estimate robot state...") + if cfg.sequential: + final_state, stage_results = sequential_optimize_state( + robot_data=robot_data, + link_infos=link_infos, + observed_markers=observed_map, + initial_state=initial_state, + cfg=cfg, + ) + else: + # Fallback: single global stage over the entire kinematic tree. + active_links = topological_links(link_infos) + active_joint_vars = active_joint_vars_for_links(link_infos, active_links) + final_state, opt_info = optimize_stage( + link_infos=link_infos, + observed_markers=observed_map, + template_state=initial_state, + active_joint_vars=active_joint_vars, + cfg=cfg, + ) + final_state["_optimizer"] = opt_info + stage_results = [] + + print("\n[STEP 4] Build report and save robot_state.json...") + marker_reports, stats = compute_error_stats(link_infos, final_state, observed_map) + + out_data = state_to_json( + robot_data=robot_data, + link_infos=link_infos, + state=final_state, + observed_markers=observed_map, + marker_reports=marker_reports, + stats=stats, + input_file=args.optimized_markers, + robot_file=args.robot, + stage_results=stage_results, + ) + + out_path = args.out + if out_path is None: + out_dir = os.path.dirname(args.optimized_markers) or "." + out_path = os.path.join(out_dir, "robot_state.json") + + save_json(out_path, out_data) + + print(f"[INFO] Saved to {out_path}") + if stats["mean_error_m"] is not None: + print(f"[INFO] Mean marker error: {stats['mean_error_m']*1000.0:.2f} mm") + print(f"[INFO] RMS marker error : {stats['rms_error_m']*1000.0:.2f} mm") + print(f"[INFO] Worst marker error: {stats['worst_error_m']*1000.0:.2f} mm") + else: + print("[INFO] No marker error statistics available.") + + +if __name__ == "__main__": + main() diff --git a/pipeline/4_robotState_estimation_v5.py b/pipeline/4_robotState_estimation_v5.py new file mode 100644 index 0000000..a5de588 --- /dev/null +++ b/pipeline/4_robotState_estimation_v5.py @@ -0,0 +1,1330 @@ +#!/usr/bin/env python3 +""" +4_robotState_estimation_v5.py + +Sequential robot-state estimation from optimized 3D ArUco marker positions. + +Mathematical idea +----------------- +This script estimates a robot state q directly from already optimized marker +positions p_i^obs (from aruco_positions_optimized*.json). + +The state is built incrementally along the kinematic chain: + 1) estimate the root link pose from observed root-link markers + 2) extend the active prefix link-by-link + 3) for each newly activated joint, estimate its scalar variable by a geometric + rule that matches the robot's degrees of freedom + +For each stage we keep the already estimated prefix fixed and only add the next +link(s) from the chain. This is intentionally *not* a generic global optimizer +by default. It is a deterministic geometric initializer that uses the robot +structure and marker geometry directly. + +The stage logic is controlled by robot.json::state_pose_params: + - numbers_of_Elements_to_consider_start + - numbers_of_Elements_to_consider_final + - solver_in_between_geometrical + - solver_after_geometrical + +Geometric rules used here +------------------------- +Rigid root / early prefix: + - root link pose is estimated from its observed markers with weighted Kabsch + +Linear joint (slider): + - the joint translates its whole descendant subtree along the joint axis + - q is estimated as the weighted mean projection of observed minus predicted + marker positions onto the world-space joint axis + +Revolute joint: + - the joint rotates its descendant subtree around the joint axis + - q is estimated by a coarse-to-fine 1D angular search that minimizes the + weighted marker residual over the active prefix + +Optional solver +--------------- +If enabled in state_pose_params, a least-squares refinement can be run after a +geometric stage or at the end. The geometric estimator remains the default and +is the first-class method in this script. + +Important limitation +-------------------- +This script works from marker positions only. It does not yet use image-space +marker orientation / normal / visibility cues. Those can be added later by +feeding in raw detections and camera poses. + +Dependencies +------------ +numpy, scipy (optional for refinement) +""" + +from __future__ import annotations + +import argparse +import copy +import json +import math +import os +import sys +import time +from dataclasses import dataclass +from typing import Any, Dict, List, Optional, Tuple + +import numpy as np + + +# ============================================================================= +# Path / JSON helpers +# ============================================================================= + +def resolve_path(path: str) -> str: + path = os.path.expanduser(path) + if os.path.isabs(path): + return path + return os.path.abspath(path) + + +def load_json(path: str) -> Any: + with open(resolve_path(path), 'r', encoding='utf-8') as f: + return json.load(f) + + +def save_json(path: str, data: Any) -> None: + with open(resolve_path(path), 'w', encoding='utf-8') as f: + json.dump(data, f, indent=2) + + +# ============================================================================= +# Small math helpers +# ============================================================================= + +def safe_norm(v: np.ndarray, eps: float = 1e-12) -> float: + return float(np.linalg.norm(v) + eps) + + +def normalize(v: np.ndarray, eps: float = 1e-12) -> np.ndarray: + v = np.asarray(v, dtype=np.float64) + return v / safe_norm(v, eps) + + +def wrap_angle_rad(a: float) -> float: + return (a + math.pi) % (2.0 * math.pi) - math.pi + + +def get_length_scale(robot_data: Dict[str, Any]) -> float: + units = robot_data.get('units', {}) or {} + length_unit = str(units.get('length', '')).strip().lower() + if length_unit in ('mm', 'millimeter', 'millimeters'): + return 1.0 / 1000.0 + if length_unit in ('cm', 'centimeter', 'centimeters'): + return 1.0 / 100.0 + return 1.0 + + +def rotation_matrix_xyz(rx: float, ry: float, rz: float, degrees: bool = False) -> np.ndarray: + """Rotation order: X then Y then Z.""" + if degrees: + rx, ry, rz = math.radians(rx), math.radians(ry), math.radians(rz) + + cx, sx = math.cos(rx), math.sin(rx) + cy, sy = math.cos(ry), math.sin(ry) + cz, sz = math.cos(rz), math.sin(rz) + + rx_m = np.array([[1.0, 0.0, 0.0], + [0.0, cx, -sx], + [0.0, sx, cx]], dtype=np.float64) + ry_m = np.array([[cy, 0.0, sy], + [0.0, 1.0, 0.0], + [-sy, 0.0, cy]], dtype=np.float64) + rz_m = np.array([[cz, -sz, 0.0], + [sz, cz, 0.0], + [0.0, 0.0, 1.0]], dtype=np.float64) + return rz_m @ ry_m @ rx_m + + +def axis_angle_rotation(axis: np.ndarray, angle_rad: float) -> np.ndarray: + axis = normalize(axis) + x, y, z = axis + c = math.cos(angle_rad) + s = math.sin(angle_rad) + C = 1.0 - c + return np.array([ + [c + x * x * C, x * y * C - z * s, x * z * C + y * s], + [y * x * C + z * s, c + y * y * C, y * z * C - x * s], + [z * x * C - y * s, z * y * C + x * s, c + z * z * C] + ], dtype=np.float64) + + +def make_transform(R: Optional[np.ndarray] = None, t: Optional[np.ndarray] = None) -> np.ndarray: + T = np.eye(4, dtype=np.float64) + if R is not None: + T[:3, :3] = np.asarray(R, dtype=np.float64) + if t is not None: + T[:3, 3] = np.asarray(t, dtype=np.float64).reshape(3) + return T + + +def transform_point(T: np.ndarray, p: np.ndarray) -> np.ndarray: + p4 = np.ones(4, dtype=np.float64) + p4[:3] = np.asarray(p, dtype=np.float64).reshape(3) + return (T @ p4)[:3] + + +def matrix_to_euler_xyz(R: np.ndarray) -> np.ndarray: + R = np.asarray(R, dtype=np.float64) + sy = math.sqrt(R[0, 0] * R[0, 0] + R[1, 0] * R[1, 0]) + singular = sy < 1e-9 + + if not singular: + x = math.atan2(R[2, 1], R[2, 2]) + y = math.atan2(-R[2, 0], sy) + z = math.atan2(R[1, 0], R[0, 0]) + else: + x = math.atan2(-R[1, 2], R[1, 1]) + y = math.atan2(-R[2, 0], sy) + z = 0.0 + return np.degrees([x, y, z]) + + +def kabsch(P: np.ndarray, Q: np.ndarray, W: Optional[np.ndarray] = None) -> Tuple[np.ndarray, np.ndarray]: + """Find R, t such that R @ P + t ≈ Q.""" + P = np.asarray(P, dtype=np.float64) + Q = np.asarray(Q, dtype=np.float64) + assert P.shape == Q.shape and P.shape[1] == 3 + + if W is None: + W = np.ones(len(P), dtype=np.float64) + W = np.asarray(W, dtype=np.float64).reshape(-1) + W = np.maximum(W, 1e-12) + W = W / np.sum(W) + + p_cent = np.sum(P * W[:, None], axis=0) + q_cent = np.sum(Q * W[:, None], axis=0) + + P0 = P - p_cent + Q0 = Q - q_cent + H = (P0 * W[:, None]).T @ Q0 + + U, S, Vt = np.linalg.svd(H) + R = Vt.T @ U.T + if np.linalg.det(R) < 0: + Vt[-1, :] *= -1.0 + R = Vt.T @ U.T + t = q_cent - R @ p_cent + return R, t + + +# ============================================================================= +# Data structures +# ============================================================================= + +@dataclass +class MarkerInfo: + marker_id: int + link_name: str + local_pos_m: np.ndarray + size: Optional[float] = None + normal: Optional[np.ndarray] = None + name: str = '' + + +@dataclass +class LinkInfo: + name: str + parent: Optional[str] + joint_type: Optional[str] + joint_axis: Optional[np.ndarray] + joint_origin_m: np.ndarray + joint_rotation_deg: np.ndarray + joint_variable: Optional[str] + mount_position_m: np.ndarray + mount_rotation_deg: np.ndarray + markers: List[MarkerInfo] + + +@dataclass +class StageResult: + stage_idx: int + active_links: List[str] + active_joint_vars: List[str] + num_markers_used: int + mean_error_m: Optional[float] + rms_error_m: Optional[float] + worst_error_m: Optional[float] + method: str + optimizer_info: Dict[str, Any] + + +@dataclass +class StatePoseParams: + numbers_of_elements_to_consider_start: int = 4 + numbers_of_elements_to_consider_final: int = 5 + solver_in_between_geometrical: bool = False + solver_after_geometrical: bool = False + geometric_passes_per_stage: int = 2 + revolute_search_coarse_deg: float = 5.0 + revolute_search_fine_deg: float = 1.0 + root_pose_min_markers: int = 3 + + +@dataclass +class EstimationConfig: + marker_base_weight: float = 1.0 + root_pose_prior_weight: float = 0.0 + joint_prior_weight: float = 0.0 + robust_loss: str = 'soft_l1' + max_iterations: int = 120 + show_stage_reports: bool = True + use_geometric_prefix: bool = True + + +# ============================================================================= +# Robot parsing +# ============================================================================= + +def parse_robot(robot_data: Dict[str, Any]) -> Tuple[Dict[str, LinkInfo], Dict[int, MarkerInfo], List[str]]: + length_scale = get_length_scale(robot_data) + links = robot_data.get('links', {}) or {} + + link_infos: Dict[str, LinkInfo] = {} + marker_by_id: Dict[int, MarkerInfo] = {} + issues: List[str] = [] + + for link_name, link_data in links.items(): + parent = link_data.get('parent', None) + + joint = link_data.get('jointToParent', {}) or {} + joint_type = joint.get('type', None) + + axis = joint.get('axis', None) + if axis is not None: + axis = np.asarray(axis, dtype=np.float64) + if safe_norm(axis) > 1e-12: + axis = normalize(axis) + else: + axis = None + + joint_origin = np.asarray(joint.get('origin', [0, 0, 0]), dtype=np.float64) * float(length_scale) + joint_rotation_deg = np.asarray(joint.get('rotation', [0, 0, 0]), dtype=np.float64) + joint_variable = joint.get('variable', None) + + mount_position = np.asarray(link_data.get('mountPosition', [0, 0, 0]), dtype=np.float64) * float(length_scale) + mount_rotation_deg = np.asarray(link_data.get('mountRotation', [0, 0, 0]), dtype=np.float64) + + markers_data = link_data.get('markers', []) or [] + markers: List[MarkerInfo] = [] + for idx, m in enumerate(markers_data): + marker_id = int(m.get('id', -1)) + pos = m.get('position', None) + + if marker_id < 0 or pos is None or len(pos) != 3: + issues.append(f"[WARN] link='{link_name}': skipped invalid marker entry at index {idx}") + continue + + if marker_id in marker_by_id: + issues.append( + f"[WARN] duplicate marker ID {marker_id} in link '{link_name}' " + f"(already in '{marker_by_id[marker_id].link_name}'); using first occurrence" + ) + continue + + normal = None + if isinstance(m.get('normal', None), list) and len(m['normal']) == 3: + normal = np.asarray(m['normal'], dtype=np.float64) + + marker = MarkerInfo( + marker_id=marker_id, + link_name=link_name, + local_pos_m=np.asarray(pos, dtype=np.float64) * float(length_scale), + size=m.get('size', None), + normal=normal, + name=str(m.get('name', f'marker_{marker_id}')), + ) + markers.append(marker) + marker_by_id[marker_id] = marker + + link_infos[link_name] = LinkInfo( + name=link_name, + parent=parent, + joint_type=joint_type, + joint_axis=axis, + joint_origin_m=joint_origin, + joint_rotation_deg=joint_rotation_deg, + joint_variable=joint_variable, + mount_position_m=mount_position, + mount_rotation_deg=mount_rotation_deg, + markers=markers, + ) + + return link_infos, marker_by_id, issues + + +def topological_links(link_infos: Dict[str, LinkInfo]) -> List[str]: + children = {name: [] for name in link_infos} + roots = [] + for name, info in link_infos.items(): + if info.parent is None: + roots.append(name) + else: + children.setdefault(info.parent, []).append(name) + + order: List[str] = [] + queue = list(roots) + seen = set() + + while queue: + cur = queue.pop(0) + if cur in seen: + continue + seen.add(cur) + order.append(cur) + for ch in children.get(cur, []): + queue.append(ch) + + for name in link_infos: + if name not in seen: + order.append(name) + return order + + +def compute_children_map(link_infos: Dict[str, LinkInfo]) -> Dict[str, List[str]]: + children: Dict[str, List[str]] = {name: [] for name in link_infos} + for name, info in link_infos.items(): + if info.parent is not None: + children.setdefault(info.parent, []).append(name) + return children + + +def compute_link_depths(link_infos: Dict[str, LinkInfo]) -> Dict[str, int]: + depths: Dict[str, int] = {} + + def depth_of(name: str) -> int: + if name in depths: + return depths[name] + info = link_infos[name] + if info.parent is None: + depths[name] = 0 + else: + depths[name] = depth_of(info.parent) + 1 + return depths[name] + + for name in link_infos: + depth_of(name) + return depths + + +# ============================================================================= +# State pose params +# ============================================================================= + +def load_state_pose_params(robot_data: Dict[str, Any]) -> StatePoseParams: + raw = robot_data.get('state_pose_params', {}) or {} + return StatePoseParams( + numbers_of_elements_to_consider_start=int(raw.get('numbers_of_Elements_to_consider_start', 4)), + numbers_of_elements_to_consider_final=int(raw.get('numbers_of_Elements_to_consider_final', 5)), + solver_in_between_geometrical=bool(raw.get('solver_in_between_geometrical', False)), + solver_after_geometrical=bool(raw.get('solver_after_geometrical', False)), + geometric_passes_per_stage=max(1, int(raw.get('geometric_passes_per_stage', 2))), + revolute_search_coarse_deg=float(raw.get('revolute_search_coarse_deg', 5.0)), + revolute_search_fine_deg=float(raw.get('revolute_search_fine_deg', 1.0)), + root_pose_min_markers=max(1, int(raw.get('root_pose_min_markers', 3))), + ) + + +# ============================================================================= +# Observations +# ============================================================================= + +def load_observed_markers(optimized_markers_file: str) -> Dict[int, Dict[str, Any]]: + data = load_json(optimized_markers_file) + if isinstance(data, dict): + markers = data.get('markers', []) or [] + elif isinstance(data, list): + markers = data + else: + markers = [] + + observed: Dict[int, Dict[str, Any]] = {} + for m in markers: + if not isinstance(m, dict): + continue + if 'marker_id' not in m: + continue + marker_id = int(m['marker_id']) + pos = m.get('position_m', None) + if pos is None or len(pos) != 3: + continue + obs = dict(m) + obs['marker_id'] = marker_id + obs['position_m'] = np.asarray(pos, dtype=np.float64) + observed[marker_id] = obs + return observed + + +def marker_weight(marker_info: MarkerInfo, base_weight: float = 1.0, ref_size: float = 25.0) -> float: + w = base_weight + if marker_info.size is not None: + try: + size = float(marker_info.size) + if size > 0: + w *= max(0.35, math.sqrt(size / ref_size)) + except Exception: + pass + return w + + +# ============================================================================= +# Forward kinematics +# ============================================================================= + +def link_static_transform(link: LinkInfo) -> np.ndarray: + Rm = rotation_matrix_xyz(*link.mount_rotation_deg, degrees=True) + return make_transform(Rm, link.mount_position_m) + + +def joint_motion_transform(link: LinkInfo, q_value: float) -> np.ndarray: + joint_type = (link.joint_type or '').strip().lower() + if link.joint_axis is None: + return np.eye(4, dtype=np.float64) + + axis = normalize(link.joint_axis) + if joint_type == 'linear': + return make_transform(np.eye(3), axis * float(q_value)) + if joint_type == 'revolute': + return make_transform(axis_angle_rotation(axis, float(q_value)), np.zeros(3)) + return np.eye(4, dtype=np.float64) + + +def world_to_link_transform( + link_name: str, + link_infos: Dict[str, LinkInfo], + state: Dict[str, Any], + cache: Dict[Tuple[str, Tuple[Tuple[str, float], ...]], np.ndarray], + joint_override: Optional[Dict[str, float]] = None, +) -> np.ndarray: + override_items = tuple(sorted((joint_override or {}).items())) + cache_key = (link_name, override_items) + if cache_key in cache: + return cache[cache_key] + + link = link_infos[link_name] + if link.parent is None: + T = make_transform(state['root_R'], state['root_t']) + cache[cache_key] = T + return T + + parent_T = world_to_link_transform(link.parent, link_infos, state, cache, joint_override=joint_override) + + T = parent_T @ make_transform(np.eye(3), link.joint_origin_m) + + joint_values = state['joint_values'] + q = joint_override.get(link.name, joint_values.get(link.joint_variable, 0.0)) if joint_override else joint_values.get(link.joint_variable, 0.0) + T = T @ joint_motion_transform(link, q) + + R_static = rotation_matrix_xyz(*link.joint_rotation_deg, degrees=True) + T = T @ make_transform(R_static, np.zeros(3)) + + T = T @ link_static_transform(link) + + cache[cache_key] = T + return T + + +def predict_marker_positions( + link_infos: Dict[str, LinkInfo], + state: Dict[str, Any], + joint_override: Optional[Dict[str, float]] = None, + active_links: Optional[set[str]] = None, +) -> Dict[int, np.ndarray]: + pred: Dict[int, np.ndarray] = {} + cache: Dict[Tuple[str, Tuple[Tuple[str, float], ...]], np.ndarray] = {} + for link_name, link in link_infos.items(): + if active_links is not None and link_name not in active_links: + continue + T = world_to_link_transform(link_name, link_infos, state, cache, joint_override=joint_override) + for marker in link.markers: + pred[marker.marker_id] = transform_point(T, marker.local_pos_m) + return pred + + +def collect_observations_by_link( + observed_markers: Dict[int, Dict[str, Any]], + active_links: Optional[set[str]] = None, +) -> Dict[str, List[int]]: + by_link: Dict[str, List[int]] = {} + for marker_id, obs in observed_markers.items(): + link = obs.get('link', None) + if link is None or link == 'unknown': + continue + if active_links is not None and link not in active_links: + continue + by_link.setdefault(link, []).append(marker_id) + return by_link + + +# ============================================================================= +# Initial geometric root pose +# ============================================================================= + +def initial_root_pose( + root_link: LinkInfo, + observed_markers: Dict[int, Dict[str, Any]], + min_markers: int = 3, +) -> Tuple[np.ndarray, np.ndarray]: + P = [] + Q = [] + W = [] + + for marker in root_link.markers: + if marker.marker_id in observed_markers: + obs = np.asarray(observed_markers[marker.marker_id]['position_m'], dtype=np.float64) + P.append(marker.local_pos_m) + Q.append(obs) + W.append(marker_weight(marker)) + + if len(P) >= min_markers: + return kabsch(np.asarray(P), np.asarray(Q), np.asarray(W)) + + if len(P) >= 1: + # Weak fallback: keep world axes and place root so the first marker matches. + marker = root_link.markers[0] + obs = np.asarray(observed_markers[marker.marker_id]['position_m'], dtype=np.float64) + return np.eye(3, dtype=np.float64), obs - marker.local_pos_m + + return np.eye(3, dtype=np.float64), np.zeros(3, dtype=np.float64) + + +# ============================================================================= +# Subtree helpers +# ============================================================================= + +def subtree_links(link_name: str, children_map: Dict[str, List[str]], active_links: set[str]) -> List[str]: + out: List[str] = [] + queue = [link_name] + while queue: + cur = queue.pop(0) + if cur not in active_links: + continue + out.append(cur) + for ch in children_map.get(cur, []): + if ch in active_links: + queue.append(ch) + return out + + +def marker_ids_in_links(link_infos: Dict[str, LinkInfo], links: List[str]) -> List[int]: + ids: List[int] = [] + for link_name in links: + for m in link_infos[link_name].markers: + ids.append(m.marker_id) + return ids + + +# ============================================================================= +# Geometric joint estimation +# ============================================================================= + +def current_joint_value(state: Dict[str, Any], link: LinkInfo) -> float: + return float(state['joint_values'].get(link.joint_variable, 0.0)) if link.joint_variable else 0.0 + + +def world_joint_axis_for_link( + link_name: str, + link_infos: Dict[str, LinkInfo], + state: Dict[str, Any], +) -> np.ndarray: + link = link_infos[link_name] + if link.parent is None or link.joint_axis is None: + return np.array([1.0, 0.0, 0.0], dtype=np.float64) + + cache: Dict[Tuple[str, Tuple[Tuple[str, float], ...]], np.ndarray] = {} + parent_T = world_to_link_transform(link.parent, link_infos, state, cache) + axis_world = parent_T[:3, :3] @ normalize(link.joint_axis) + return normalize(axis_world) + + +def estimate_linear_joint_value( + link_name: str, + link_infos: Dict[str, LinkInfo], + state: Dict[str, Any], + observed_markers: Dict[int, Dict[str, Any]], + active_links: set[str], + children_map: Dict[str, List[str]], +) -> Tuple[float, Dict[str, Any]]: + link = link_infos[link_name] + if link.joint_variable is None: + return 0.0, {'reason': 'no_joint_variable'} + + subtree = subtree_links(link_name, children_map, active_links) + obs_ids = [mid for mid in marker_ids_in_links(link_infos, subtree) if mid in observed_markers] + if not obs_ids: + return current_joint_value(state, link), {'reason': 'no_observations'} + + axis_world = world_joint_axis_for_link(link_name, link_infos, state) + + # Evaluate current prediction with this joint forced to zero. + override = {link_name: 0.0} + pred0 = predict_marker_positions(link_infos, state, joint_override=override, active_links=active_links) + + num = 0.0 + den = 0.0 + used = 0 + per_marker = [] + for mid in obs_ids: + if mid not in pred0: + continue + marker = next((m for m in link_infos[observed_markers[mid]['link']].markers if m.marker_id == mid), None) + w = marker_weight(marker) if marker is not None else 1.0 + p_obs = np.asarray(observed_markers[mid]['position_m'], dtype=np.float64) + p0 = pred0[mid] + q_i = float(np.dot(axis_world, p_obs - p0)) + num += w * q_i + den += w + used += 1 + per_marker.append({'marker_id': mid, 'q_i': q_i, 'weight': w}) + + if den <= 1e-12: + return current_joint_value(state, link), {'reason': 'zero_weight'} + + q = num / den + return float(q), { + 'reason': 'weighted_projection', + 'used_markers': used, + 'axis_world': [float(x) for x in axis_world], + 'per_marker': per_marker, + } + + +def marker_residual_error_for_state( + link_infos: Dict[str, LinkInfo], + state: Dict[str, Any], + observed_markers: Dict[int, Dict[str, Any]], + active_links: Optional[set[str]] = None, +) -> Tuple[List[Dict[str, Any]], Dict[str, Any]]: + pred = predict_marker_positions(link_infos, state, active_links=active_links) + + marker_reports: List[Dict[str, Any]] = [] + errors = [] + for marker_id, obs in observed_markers.items(): + if marker_id not in pred: + continue + p_obs = np.asarray(obs['position_m'], dtype=np.float64) + p_pred = pred[marker_id] + err = p_pred - p_obs + err_norm = float(np.linalg.norm(err)) + errors.append(err_norm) + marker_reports.append({ + 'marker_id': int(marker_id), + 'link': obs.get('link', 'unknown'), + 'observed_position_m': [float(x) for x in p_obs], + 'predicted_position_m': [float(x) for x in p_pred], + 'error_m': [float(x) for x in err], + 'error_norm_m': err_norm, + 'error_norm_mm': err_norm * 1000.0, + 'marker_size': obs.get('position_mm', None), + }) + + if errors: + arr = np.asarray(errors, dtype=np.float64) + stats = { + 'num_markers_used': int(len(errors)), + 'mean_error_m': float(np.mean(arr)), + 'median_error_m': float(np.median(arr)), + 'rms_error_m': float(np.sqrt(np.mean(arr ** 2))), + 'worst_error_m': float(np.max(arr)), + 'p80_error_m': float(np.quantile(arr, 0.80)), + 'p90_error_m': float(np.quantile(arr, 0.90)), + } + else: + stats = { + 'num_markers_used': 0, + 'mean_error_m': None, + 'median_error_m': None, + 'rms_error_m': None, + 'worst_error_m': None, + 'p80_error_m': None, + 'p90_error_m': None, + } + + return marker_reports, stats + + +def revolute_weighted_error( + link_name: str, + q: float, + link_infos: Dict[str, LinkInfo], + state: Dict[str, Any], + observed_markers: Dict[int, Dict[str, Any]], + active_links: set[str], + children_map: Dict[str, List[str]], +) -> float: + link = link_infos[link_name] + if link.joint_variable is None: + return float('inf') + + subtree = subtree_links(link_name, children_map, active_links) + obs_ids = [mid for mid in marker_ids_in_links(link_infos, subtree) if mid in observed_markers] + if not obs_ids: + return float('inf') + + override = {link_name: q} + pred = predict_marker_positions(link_infos, state, joint_override=override, active_links=active_links) + + err = 0.0 + wsum = 0.0 + for mid in obs_ids: + if mid not in pred: + continue + marker = next((m for m in link_infos[observed_markers[mid]['link']].markers if m.marker_id == mid), None) + w = marker_weight(marker) if marker is not None else 1.0 + d = pred[mid] - np.asarray(observed_markers[mid]['position_m'], dtype=np.float64) + err += w * float(np.dot(d, d)) + wsum += w + + if wsum <= 1e-12: + return float('inf') + return err / wsum + + +def estimate_revolute_joint_value( + link_name: str, + link_infos: Dict[str, LinkInfo], + state: Dict[str, Any], + observed_markers: Dict[int, Dict[str, Any]], + active_links: set[str], + children_map: Dict[str, List[str]], + coarse_step_deg: float = 5.0, + fine_step_deg: float = 1.0, +) -> Tuple[float, Dict[str, Any]]: + link = link_infos[link_name] + if link.joint_variable is None: + return 0.0, {'reason': 'no_joint_variable'} + + subtree = subtree_links(link_name, children_map, active_links) + obs_ids = [mid for mid in marker_ids_in_links(link_infos, subtree) if mid in observed_markers] + if not obs_ids: + return current_joint_value(state, link), {'reason': 'no_observations'} + + q0 = current_joint_value(state, link) + best_q = q0 + best_e = float('inf') + used = len(obs_ids) + + # Coarse-to-fine search around the current value, but still wide enough to catch flips. + centers = [q0, 0.0] + span_list = [math.pi, math.pi / 4.0, math.pi / 16.0] + step_list = [math.radians(coarse_step_deg), math.radians(fine_step_deg), math.radians(max(0.25, fine_step_deg / 2.0))] + + for center in centers: + for span, step in zip(span_list, step_list): + if step <= 0: + continue + qs = np.arange(center - span, center + span + 0.5 * step, step) + for q in qs: + e = revolute_weighted_error(link_name, float(q), link_infos, state, observed_markers, active_links, children_map) + if e < best_e: + best_e = e + best_q = float(q) + center = best_q + + return wrap_angle_rad(best_q), { + 'reason': 'coarse_to_fine_scan', + 'used_markers': used, + 'best_error': best_e, + 'q0': q0, + 'search_span_rad': math.pi, + } + + +# ============================================================================= +# Geometric prefix estimation +# ============================================================================= + +def build_state_template(link_infos: Dict[str, LinkInfo]) -> Dict[str, Any]: + return { + 'root_R': np.eye(3, dtype=np.float64), + 'root_t': np.zeros(3, dtype=np.float64), + 'joint_values': {li.joint_variable: 0.0 for li in link_infos.values() if li.joint_variable}, + } + + +def copy_state(state: Dict[str, Any]) -> Dict[str, Any]: + return { + 'root_R': np.asarray(state['root_R'], dtype=np.float64).copy(), + 'root_t': np.asarray(state['root_t'], dtype=np.float64).copy(), + 'joint_values': dict(state.get('joint_values', {})), + } + + +def active_observations_for_links( + observed_markers: Dict[int, Dict[str, Any]], + active_links: set[str], +) -> Dict[int, Dict[str, Any]]: + out: Dict[int, Dict[str, Any]] = {} + for marker_id, obs in observed_markers.items(): + link_name = obs.get('link', None) + if link_name in active_links: + out[marker_id] = obs + return out + + +def optimize_geometric_prefix( + link_infos: Dict[str, LinkInfo], + observed_markers: Dict[int, Dict[str, Any]], + initial_state: Dict[str, Any], + active_links: List[str], + cfg: StatePoseParams, +) -> Tuple[Dict[str, Any], Dict[str, Any]]: + active_set = set(active_links) + children_map = compute_children_map(link_infos) + stage_obs = active_observations_for_links(observed_markers, active_set) + + state = copy_state(initial_state) + stage_info: Dict[str, Any] = { + 'method': 'geometric_prefix', + 'active_links': active_links, + 'active_observations': len(stage_obs), + 'joint_updates': [], + } + + # Root pose is refreshed from the root markers if possible. + root_link_name = next((ln for ln in active_links if link_infos[ln].parent is None), None) + if root_link_name is not None: + root_link = link_infos[root_link_name] + root_R, root_t = initial_root_pose(root_link, stage_obs, min_markers=cfg.root_pose_min_markers) + state['root_R'] = root_R + state['root_t'] = root_t + stage_info['root_link'] = root_link_name + stage_info['root_pose_source'] = 'kabsch_root_markers' if len([m for m in root_link.markers if m.marker_id in stage_obs]) >= cfg.root_pose_min_markers else 'weak_single_marker_fallback' + + # Forward geometric passes. + active_joint_links = [ln for ln in active_links if link_infos[ln].parent is not None] + for pass_idx in range(cfg.geometric_passes_per_stage): + pass_updates = [] + for link_name in active_joint_links: + link = link_infos[link_name] + jt = (link.joint_type or '').strip().lower() + if jt == 'linear': + q_old = current_joint_value(state, link) + q_new, info = estimate_linear_joint_value(link_name, link_infos, state, stage_obs, active_set, children_map) + state['joint_values'][link.joint_variable] = q_new + pass_updates.append({'link': link_name, 'joint_variable': link.joint_variable, 'joint_type': jt, 'old': q_old, 'new': q_new, 'info': info}) + elif jt == 'revolute': + q_old = current_joint_value(state, link) + q_new, info = estimate_revolute_joint_value( + link_name, link_infos, state, stage_obs, active_set, children_map, + coarse_step_deg=cfg.revolute_search_coarse_deg, + fine_step_deg=cfg.revolute_search_fine_deg, + ) + state['joint_values'][link.joint_variable] = q_new + pass_updates.append({'link': link_name, 'joint_variable': link.joint_variable, 'joint_type': jt, 'old': q_old, 'new': q_new, 'info': info}) + stage_info[f'pass_{pass_idx+1}_updates'] = pass_updates + + marker_reports, stats = marker_residual_error_for_state(link_infos, state, stage_obs, active_links=active_set) + stage_info['fit_stats'] = stats + stage_info['num_markers_used'] = stats['num_markers_used'] + return state, stage_info + + +# ============================================================================= +# Optional least-squares refinement +# ============================================================================= + +def stage_variables_to_vector(state: Dict[str, Any], active_joint_vars: List[str]) -> np.ndarray: + try: + from scipy.spatial.transform import Rotation + root_rvec = Rotation.from_matrix(state['root_R']).as_rotvec() + except Exception: + root_rvec = np.zeros(3, dtype=np.float64) + + root_t = np.asarray(state['root_t'], dtype=np.float64).reshape(3) + values = list(root_t) + list(np.asarray(root_rvec, dtype=np.float64)) + for var in active_joint_vars: + values.append(float(state['joint_values'].get(var, 0.0))) + return np.asarray(values, dtype=np.float64) + + +def vector_to_state(x: np.ndarray, template_state: Dict[str, Any], active_joint_vars: List[str]) -> Dict[str, Any]: + try: + from scipy.spatial.transform import Rotation + except Exception: + Rotation = None + + x = np.asarray(x, dtype=np.float64).reshape(-1) + out = { + 'root_t': x[0:3].copy(), + 'root_R': template_state['root_R'].copy(), + 'joint_values': dict(template_state['joint_values']), + } + + root_rvec = x[3:6].copy() + if Rotation is not None: + out['root_R'] = Rotation.from_rotvec(root_rvec).as_matrix() + else: + angle = safe_norm(root_rvec) + out['root_R'] = np.eye(3, dtype=np.float64) if angle < 1e-12 else axis_angle_rotation(root_rvec / angle, angle) + + idx = 6 + for var in active_joint_vars: + if idx >= len(x): + break + out['joint_values'][var] = float(x[idx]) + idx += 1 + return out + + +def residuals_stage( + x: np.ndarray, + link_infos: Dict[str, LinkInfo], + observed_markers: Dict[int, Dict[str, Any]], + template_state: Dict[str, Any], + active_joint_vars: List[str], + active_links: set[str], + cfg: EstimationConfig, +) -> np.ndarray: + state = vector_to_state(x, template_state, active_joint_vars) + pred = predict_marker_positions(link_infos, state, active_links=active_links) + res: List[float] = [] + + for marker_id, obs in observed_markers.items(): + if marker_id not in pred: + continue + link_name = obs.get('link', None) + marker = None + if link_name is not None and link_name in link_infos: + marker = next((m for m in link_infos[link_name].markers if m.marker_id == marker_id), None) + w = marker_weight(marker, base_weight=cfg.marker_base_weight) if marker is not None else cfg.marker_base_weight + sqrt_w = math.sqrt(max(1e-12, w)) + p_obs = np.asarray(obs['position_m'], dtype=np.float64) + p_pred = pred[marker_id] + d = (p_pred - p_obs) * sqrt_w + res.extend(d.tolist()) + + if cfg.root_pose_prior_weight > 0: + root_t_prior = np.asarray(template_state['root_t'], dtype=np.float64) + try: + from scipy.spatial.transform import Rotation + root_rvec_prior = Rotation.from_matrix(template_state['root_R']).as_rotvec() + except Exception: + root_rvec_prior = np.zeros(3, dtype=np.float64) + w = math.sqrt(max(1e-12, cfg.root_pose_prior_weight)) + res.extend(((x[0:3] - root_t_prior) * w).tolist()) + res.extend(((x[3:6] - root_rvec_prior) * w).tolist()) + + if cfg.joint_prior_weight > 0: + idx = 6 + w = math.sqrt(max(1e-12, cfg.joint_prior_weight)) + for var in active_joint_vars: + if idx >= len(x): + break + q = x[idx] + q0 = template_state['joint_values'].get(var, 0.0) + dq = wrap_angle_rad(float(q - q0)) if abs(q0) <= math.pi * 2.5 else float(q - q0) + res.append(dq * w) + idx += 1 + + return np.asarray(res, dtype=np.float64) + + +def optional_solver_refine( + link_infos: Dict[str, LinkInfo], + observed_markers: Dict[int, Dict[str, Any]], + state: Dict[str, Any], + active_links: List[str], + cfg: EstimationConfig, +) -> Tuple[Dict[str, Any], Dict[str, Any]]: + try: + from scipy.optimize import least_squares + except Exception: + return state, {'success': False, 'message': 'scipy unavailable'} + + active_joint_vars = [link_infos[ln].joint_variable for ln in active_links if link_infos[ln].joint_variable is not None] + x0 = stage_variables_to_vector(state, active_joint_vars) + active_set = set(active_links) + + result = least_squares( + lambda x: residuals_stage(x, link_infos, observed_markers, state, active_joint_vars, active_set, cfg), + x0, + loss=cfg.robust_loss, + f_scale=1.0, + max_nfev=cfg.max_iterations, + verbose=1, + ) + refined = vector_to_state(result.x, state, active_joint_vars) + info = { + 'success': bool(result.success), + 'status': int(result.status), + 'message': str(result.message), + 'nfev': int(result.nfev), + 'cost': float(np.sum(result.fun ** 2)), + } + return refined, info + + +# ============================================================================= +# Sequential estimation driver +# ============================================================================= + +def sequential_geometric_estimation( + link_infos: Dict[str, LinkInfo], + observed_markers: Dict[int, Dict[str, Any]], + params: StatePoseParams, + cfg: EstimationConfig, +) -> Tuple[Dict[str, Any], List[StageResult]]: + ordered = topological_links(link_infos) + if not ordered: + return build_state_template(link_infos), [] + + start_n = max(1, min(int(params.numbers_of_elements_to_consider_start), len(ordered))) + final_n = max(start_n, min(int(params.numbers_of_elements_to_consider_final), len(ordered))) + + state = build_state_template(link_infos) + stage_results: List[StageResult] = [] + + for n in range(start_n, final_n + 1): + active_links = ordered[:n] + stage_state, stage_info = optimize_geometric_prefix(link_infos, observed_markers, state, active_links, params) + state = stage_state + + if params.solver_in_between_geometrical: + state, solver_info = optional_solver_refine(link_infos, observed_markers, state, active_links, cfg) + stage_info['solver_in_between'] = solver_info + + stage_obs = active_observations_for_links(observed_markers, set(active_links)) + marker_reports, stats = marker_residual_error_for_state(link_infos, state, stage_obs, active_links=set(active_links)) + + active_joint_vars = [link_infos[ln].joint_variable for ln in active_links if link_infos[ln].joint_variable is not None] + stage_result = StageResult( + stage_idx=len(stage_results), + active_links=active_links, + active_joint_vars=active_joint_vars, + num_markers_used=stats['num_markers_used'], + mean_error_m=stats['mean_error_m'], + rms_error_m=stats['rms_error_m'], + worst_error_m=stats['worst_error_m'], + method='geometric_prefix' + ('+solver' if params.solver_in_between_geometrical else ''), + optimizer_info=stage_info, + ) + stage_results.append(stage_result) + + if cfg.show_stage_reports: + print( + f"[INFO] Stage {stage_result.stage_idx} | links={len(active_links)} | joints={len(active_joint_vars)} | " + f"markers={stage_result.num_markers_used} | mean={None if stats['mean_error_m'] is None else stats['mean_error_m']*1000.0:.2f} mm" + ) + + if params.solver_after_geometrical: + state, solver_info = optional_solver_refine(link_infos, observed_markers, state, ordered[:final_n], cfg) + if stage_results: + stage_results[-1].optimizer_info['solver_after_geometrical'] = solver_info + + return state, stage_results + + +# ============================================================================= +# Output +# ============================================================================= + +def state_to_json( + robot_data: Dict[str, Any], + link_infos: Dict[str, LinkInfo], + state: Dict[str, Any], + observed_markers: Dict[int, Dict[str, Any]], + marker_reports: List[Dict[str, Any]], + stats: Dict[str, Any], + input_file: str, + robot_file: str, + stage_results: List[StageResult], + params: StatePoseParams, +) -> Dict[str, Any]: + movements = {} + for link_name in topological_links(link_infos): + link = link_infos[link_name] + if not link.joint_variable: + continue + + q = float(state['joint_values'].get(link.joint_variable, 0.0)) + jt = (link.joint_type or '').strip().lower() + entry = { + 'joint_type': jt, + 'link': link_name, + 'estimated': True, + } + if jt == 'revolute': + entry['value_rad'] = q + entry['value_deg'] = float(math.degrees(q)) + elif jt == 'linear': + entry['value_m'] = q + entry['value_mm'] = q * 1000.0 + else: + entry['value'] = q + movements[link.joint_variable] = entry + + link_pose_entries = [] + cache: Dict[Tuple[str, Tuple[Tuple[str, float], ...]], np.ndarray] = {} + for link_name in topological_links(link_infos): + T = world_to_link_transform(link_name, link_infos, state, cache) + R = T[:3, :3] + t = T[:3, 3] + link = link_infos[link_name] + num_used = sum(1 for m in link.markers if m.marker_id in observed_markers) + link_pose_entries.append({ + 'link': link_name, + 'parent': link.parent, + 'position_m': [float(x) for x in t], + 'rotation_matrix': [[float(v) for v in row] for row in R], + 'euler_xyz_deg': [float(x) for x in matrix_to_euler_xyz(R)], + 'num_observed_markers': int(num_used), + 'num_markers_total': int(len(link.markers)), + }) + + root_link = next((name for name, info in link_infos.items() if info.parent is None), None) + root_T = make_transform(state['root_R'], state['root_t']) + + out = { + 'schema_version': '3.0', + 'created_utc': time.strftime('%Y-%m-%dT%H:%M:%SZ', time.gmtime()), + 'source': { + 'marker_positions_file': input_file, + 'robot_file': robot_file, + }, + 'state_pose_params': { + 'numbers_of_Elements_to_consider_start': params.numbers_of_elements_to_consider_start, + 'numbers_of_Elements_to_consider_final': params.numbers_of_elements_to_consider_final, + 'solver_in_between_geometrical': params.solver_in_between_geometrical, + 'solver_after_geometrical': params.solver_after_geometrical, + 'geometric_passes_per_stage': params.geometric_passes_per_stage, + 'revolute_search_coarse_deg': params.revolute_search_coarse_deg, + 'revolute_search_fine_deg': params.revolute_search_fine_deg, + 'root_pose_min_markers': params.root_pose_min_markers, + }, + 'summary': { + 'num_links': int(len(link_infos)), + 'num_observed_markers': int(len(observed_markers)), + 'num_link_markers': int(sum(len(li.markers) for li in link_infos.values())), + 'root_link': root_link, + 'fit_stats': stats, + 'optimizer': state.get('_optimizer', {}), + 'stages': [ + { + 'stage_idx': int(s.stage_idx), + 'active_links': s.active_links, + 'active_joint_vars': s.active_joint_vars, + 'num_markers_used': int(s.num_markers_used), + 'mean_error_m': s.mean_error_m, + 'rms_error_m': s.rms_error_m, + 'worst_error_m': s.worst_error_m, + 'method': s.method, + 'optimizer_info': s.optimizer_info, + } + for s in stage_results + ], + }, + 'world_pose': { + 'root_translation_m': [float(x) for x in root_T[:3, 3]], + 'root_rotation_matrix': [[float(v) for v in row] for row in root_T[:3, :3]], + 'root_euler_xyz_deg': [float(x) for x in matrix_to_euler_xyz(root_T[:3, :3])], + }, + 'movements': movements, + 'links': link_pose_entries, + 'markers': marker_reports, + } + return out + + +# ============================================================================= +# Main +# ============================================================================= + +def main() -> None: + parser = argparse.ArgumentParser( + description='Sequential geometric robot-state estimation from optimized ArUco marker positions' + ) + parser.add_argument('optimized_markers', help='aruco_positions_optimized*.json') + parser.add_argument('-robot', '--robot', required=True, help='robot.json') + parser.add_argument('-out', '--out', default=None, help='Output robot_state.json path') + parser.add_argument('--maxIterations', type=int, default=120, help='Maximum least-squares iterations per optional refinement stage') + parser.add_argument('--jointPriorWeight', type=float, default=0.0, help='Prior weight for joint variables during optional solver refinement') + parser.add_argument('--rootPosePriorWeight', type=float, default=0.0, help='Prior weight for root pose during optional solver refinement') + parser.add_argument('--markerBaseWeight', type=float, default=1.0, help='Base weight for marker residuals') + parser.add_argument('--noSequential', action='store_true', help='Disable sequential prefix mode and run one prefix stage only') + parser.add_argument('--forceSolverAfter', action='store_true', help='Force solver after the geometric prefix regardless of robot.json') + parser.add_argument('--forceSolverBetween', action='store_true', help='Force solver between geometric stages regardless of robot.json') + + args = parser.parse_args() + + print('[STEP 1] Load robot.json and optimized marker positions...') + robot_data = load_json(args.robot) + link_infos, marker_by_id, issues = parse_robot(robot_data) + observed_map = load_observed_markers(args.optimized_markers) + params = load_state_pose_params(robot_data) + + if args.noSequential: + params.numbers_of_elements_to_consider_start = len(topological_links(link_infos)) + params.numbers_of_elements_to_consider_final = len(topological_links(link_infos)) + + if args.forceSolverBetween: + params.solver_in_between_geometrical = True + if args.forceSolverAfter: + params.solver_after_geometrical = True + + for issue in issues: + print(issue) + + print(f"[INFO] Links: {len(link_infos)}") + print(f"[INFO] Known robot markers: {len(marker_by_id)}") + print(f"[INFO] Observed optimized markers: {len(observed_map)}") + print(f"[INFO] state_pose_params: start={params.numbers_of_elements_to_consider_start}, final={params.numbers_of_elements_to_consider_final}, between={params.solver_in_between_geometrical}, after={params.solver_after_geometrical}") + + cfg = EstimationConfig( + marker_base_weight=float(args.markerBaseWeight), + root_pose_prior_weight=float(args.rootPosePriorWeight), + joint_prior_weight=float(args.jointPriorWeight), + robust_loss='soft_l1', + max_iterations=int(args.maxIterations), + show_stage_reports=True, + use_geometric_prefix=True, + ) + + print('\n[STEP 2] Geometric sequential pose estimation...') + final_state, stage_results = sequential_geometric_estimation( + link_infos=link_infos, + observed_markers=observed_map, + params=params, + cfg=cfg, + ) + + print('\n[STEP 3] Build report and save robot_state.json...') + marker_reports, stats = marker_residual_error_for_state(link_infos, final_state, observed_map) + + out_data = state_to_json( + robot_data=robot_data, + link_infos=link_infos, + state=final_state, + observed_markers=observed_map, + marker_reports=marker_reports, + stats=stats, + input_file=args.optimized_markers, + robot_file=args.robot, + stage_results=stage_results, + params=params, + ) + + out_path = args.out + if out_path is None: + out_dir = os.path.dirname(args.optimized_markers) or '.' + out_path = os.path.join(out_dir, 'robot_state.json') + + save_json(out_path, out_data) + + print(f"[INFO] Saved to {out_path}") + if stats['mean_error_m'] is not None: + print(f"[INFO] Mean marker error: {stats['mean_error_m'] * 1000.0:.2f} mm") + print(f"[INFO] RMS marker error : {stats['rms_error_m'] * 1000.0:.2f} mm") + print(f"[INFO] Worst marker error: {stats['worst_error_m'] * 1000.0:.2f} mm") + else: + print('[INFO] No marker error statistics available.') + + +if __name__ == '__main__': + main() diff --git a/pipeline/4_robotState_estimation_v6.py b/pipeline/4_robotState_estimation_v6.py new file mode 100644 index 0000000..709eb95 --- /dev/null +++ b/pipeline/4_robotState_estimation_v6.py @@ -0,0 +1,1217 @@ +#!/usr/bin/env python3 +""" +4_robotState_estimation_v6.py + +Deterministic geometric robot-state estimation from optimized 3D ArUco marker positions. + +Mathematical idea +----------------- +This script does NOT run a generic minimizer by default. It estimates the robot +state q with closed-form geometric rules and sequential prefix expansion. + +Input: + aruco_positions_optimized*.json + robot.json + +Core geometric steps +-------------------- +1) Root pose estimation + The root link pose (Board) is estimated from its observed markers using a + weighted Kabsch fit: + R_root, t_root = argmin || R P_i + t - Q_i ||^2 + with weights driven by marker size. + +2) Linear joints / sliders + For a prismatic joint along axis a, the joint variable q is estimated by + weighted averaging of the projection residuals: + q = mean_i w_i * dot(a_world, p_obs_i - p_pred_i(q=0)) / mean_i w_i + This is a closed-form geometry update, not a numeric optimizer. + +3) Revolute joints + For a revolute joint around axis a, the joint angle is estimated by + projecting the marker vectors into the plane orthogonal to a and solving a + 2D weighted rotation alignment: + theta = atan2( sum_i w_i * cross2(u_i, v_i), + sum_i w_i * dot2(u_i, v_i) ) + where u_i are predicted vectors (q=0) and v_i are observed vectors. + + To handle 180° flip ambiguities, the script optionally compares theta and + theta + pi and uses a weak normal-based tie-break. Marker normals from + robot.json are used as a geometric hint, not as hard image evidence. + +4) Sequential prefix expansion + The chain is estimated link-by-link from the root outwards. Each stage only + activates the first N links (controlled by robot.json::state_pose_params), + re-estimates the active prefix, and keeps the previous prefix as the start + of the next stage. + +This is intentionally designed as a fast, deterministic geometric initializer +for later refinement, not as a full bundle-adjustment solver. + +Notes +----- +- The script uses the robot hierarchy, joint axes, joint origins, and marker + local positions from robot.json. +- No least-squares minimizer is used in the default path. +- Solver-related flags may be present in robot.json for compatibility but are + not used here. + +Dependencies +------------ +numpy only +""" + +from __future__ import annotations + +import argparse +import json +import math +import os +import sys +import time +from dataclasses import dataclass +from typing import Any, Dict, List, Optional, Tuple + +import numpy as np + + +# ============================================================================= +# Path / JSON helpers +# ============================================================================= + +def resolve_path(path: str) -> str: + path = os.path.expanduser(path) + if os.path.isabs(path): + return path + return os.path.abspath(path) + + +def load_json(path: str) -> Any: + with open(resolve_path(path), "r", encoding="utf-8") as f: + return json.load(f) + + +def save_json(path: str, data: Any) -> None: + with open(resolve_path(path), "w", encoding="utf-8") as f: + json.dump(data, f, indent=2) + + +# ============================================================================= +# Small geometry helpers +# ============================================================================= + +def safe_norm(v: np.ndarray, eps: float = 1e-12) -> float: + return float(np.linalg.norm(v) + eps) + + +def normalize(v: np.ndarray, eps: float = 1e-12) -> np.ndarray: + v = np.asarray(v, dtype=np.float64) + return v / safe_norm(v, eps) + + +def wrap_angle_rad(a: float) -> float: + return (a + math.pi) % (2.0 * math.pi) - math.pi + + +def get_length_scale(robot_data: Dict[str, Any]) -> float: + units = robot_data.get("units", {}) or {} + length_unit = str(units.get("length", "")).strip().lower() + if length_unit in ("mm", "millimeter", "millimeters"): + return 1.0 / 1000.0 + if length_unit in ("cm", "centimeter", "centimeters"): + return 1.0 / 100.0 + return 1.0 + + +def rotation_matrix_xyz(rx: float, ry: float, rz: float, degrees: bool = False) -> np.ndarray: + """Rotation order: X then Y then Z.""" + if degrees: + rx, ry, rz = math.radians(rx), math.radians(ry), math.radians(rz) + + cx, sx = math.cos(rx), math.sin(rx) + cy, sy = math.cos(ry), math.sin(ry) + cz, sz = math.cos(rz), math.sin(rz) + + rx_m = np.array([[1.0, 0.0, 0.0], + [0.0, cx, -sx], + [0.0, sx, cx]], dtype=np.float64) + ry_m = np.array([[cy, 0.0, sy], + [0.0, 1.0, 0.0], + [-sy, 0.0, cy]], dtype=np.float64) + rz_m = np.array([[cz, -sz, 0.0], + [sz, cz, 0.0], + [0.0, 0.0, 1.0]], dtype=np.float64) + return rz_m @ ry_m @ rx_m + + +def axis_angle_rotation(axis: np.ndarray, angle_rad: float) -> np.ndarray: + axis = normalize(axis) + x, y, z = axis + c = math.cos(angle_rad) + s = math.sin(angle_rad) + C = 1.0 - c + return np.array([ + [c + x * x * C, x * y * C - z * s, x * z * C + y * s], + [y * x * C + z * s, c + y * y * C, y * z * C - x * s], + [z * x * C - y * s, z * y * C + x * s, c + z * z * C], + ], dtype=np.float64) + + +def make_transform(R: Optional[np.ndarray] = None, t: Optional[np.ndarray] = None) -> np.ndarray: + T = np.eye(4, dtype=np.float64) + if R is not None: + T[:3, :3] = np.asarray(R, dtype=np.float64) + if t is not None: + T[:3, 3] = np.asarray(t, dtype=np.float64).reshape(3) + return T + + +def transform_point(T: np.ndarray, p: np.ndarray) -> np.ndarray: + p4 = np.ones(4, dtype=np.float64) + p4[:3] = np.asarray(p, dtype=np.float64).reshape(3) + return (T @ p4)[:3] + + +def transform_vector(T: np.ndarray, v: np.ndarray) -> np.ndarray: + return T[:3, :3] @ np.asarray(v, dtype=np.float64).reshape(3) + + +def kabsch(P: np.ndarray, Q: np.ndarray, W: Optional[np.ndarray] = None) -> Tuple[np.ndarray, np.ndarray]: + """Weighted Kabsch fit: find R, t so that R @ P + t ≈ Q.""" + P = np.asarray(P, dtype=np.float64) + Q = np.asarray(Q, dtype=np.float64) + assert P.shape == Q.shape and P.shape[1] == 3 + + if W is None: + W = np.ones(len(P), dtype=np.float64) + W = np.asarray(W, dtype=np.float64).reshape(-1) + W = np.maximum(W, 1e-12) + W = W / np.sum(W) + + p_cent = np.sum(P * W[:, None], axis=0) + q_cent = np.sum(Q * W[:, None], axis=0) + + P0 = P - p_cent + Q0 = Q - q_cent + H = (P0 * W[:, None]).T @ Q0 + + U, S, Vt = np.linalg.svd(H) + R = Vt.T @ U.T + if np.linalg.det(R) < 0: + Vt[-1, :] *= -1.0 + R = Vt.T @ U.T + t = q_cent - R @ p_cent + return R, t + + +def principal_axis_id(axis: np.ndarray, threshold: float = 0.95) -> Optional[int]: + a = normalize(np.asarray(axis, dtype=np.float64)) + idx = int(np.argmax(np.abs(a))) + if abs(a[idx]) >= threshold: + return idx + return None + + +def axis_unit_from_id(axis_id: int, sign: float = 1.0) -> np.ndarray: + v = np.zeros(3, dtype=np.float64) + v[axis_id] = 1.0 if sign >= 0 else -1.0 + return v + + +def plane_basis_for_axis(axis: np.ndarray) -> Tuple[np.ndarray, np.ndarray, int]: + """ + Return a 2D basis (e1, e2) spanning the plane orthogonal to axis. + Also return the principal axis index if axis is close to x/y/z. + """ + a = normalize(axis) + axis_id = int(np.argmax(np.abs(a))) + + if axis_id == 0: # x -> yz-plane + e1 = np.array([0.0, 1.0, 0.0], dtype=np.float64) + e2 = np.array([0.0, 0.0, 1.0], dtype=np.float64) + elif axis_id == 1: # y -> zx-plane + e1 = np.array([0.0, 0.0, 1.0], dtype=np.float64) + e2 = np.array([1.0, 0.0, 0.0], dtype=np.float64) + else: # z -> xy-plane + e1 = np.array([1.0, 0.0, 0.0], dtype=np.float64) + e2 = np.array([0.0, 1.0, 0.0], dtype=np.float64) + + return e1, e2, axis_id + + +def project_to_plane(v: np.ndarray, axis: np.ndarray) -> np.ndarray: + axis = normalize(axis) + return np.asarray(v, dtype=np.float64) - np.dot(v, axis) * axis + + +def weighted_mean(values: List[float], weights: List[float]) -> float: + if not values or not weights: + return 0.0 + w = np.asarray(weights, dtype=np.float64) + v = np.asarray(values, dtype=np.float64) + s = float(np.sum(w)) + if s <= 1e-12: + return float(np.mean(v)) + return float(np.sum(v * w) / s) + + +def marker_quality_weight(marker: "MarkerInfo", ref_size: float = 25.0) -> float: + w = 1.0 + if marker.size is not None: + try: + size = float(marker.size) + if size > 0: + w *= max(0.35, math.sqrt(size / ref_size)) + except Exception: + pass + return float(w) + + +def normal_flip_bias(marker: "MarkerInfo", world_up: np.ndarray = np.array([0.0, 0.0, 1.0], dtype=np.float64)) -> float: + """ + Weak bias for top/bottom flip discrimination. + Only markers with a strong ±z local normal contribute. + """ + if marker.local_normal is None: + return 0.0 + n = normalize(marker.local_normal) + if abs(n[2]) < 0.5: + return 0.0 + pref = 1.0 if n[2] >= 0 else -1.0 + # Positive score means "prefer world_up alignment" for top markers, + # negative score means "prefer world_down alignment" for bottom markers. + return pref + + +# ============================================================================= +# Robot structures +# ============================================================================= + +@dataclass +class MarkerInfo: + marker_id: int + name: str + local_pos_m: np.ndarray + local_normal: np.ndarray + size: Optional[float] + spin: Optional[float] + link_name: str + + +@dataclass +class LinkInfo: + name: str + parent: Optional[str] + joint_type: str + joint_axis: Optional[np.ndarray] + joint_variable: Optional[str] + joint_origin_m: np.ndarray + joint_rotation_deg: np.ndarray + mount_position_m: np.ndarray + mount_rotation_deg: np.ndarray + markers: List[MarkerInfo] + + +@dataclass +class StatePoseParams: + numbers_of_elements_to_consider_start: int = 4 + numbers_of_elements_to_consider_final: int = 5 + geometric_passes_per_stage: int = 2 + root_pose_min_markers: int = 2 + use_marker_normals_flip_tiebreak: bool = True + normal_flip_weight: float = 0.05 + + +def load_state_pose_params(robot_data: Dict[str, Any]) -> StatePoseParams: + raw = robot_data.get("state_pose_params", {}) or {} + return StatePoseParams( + numbers_of_elements_to_consider_start=max(1, int(raw.get("numbers_of_Elements_to_consider_start", 4))), + numbers_of_elements_to_consider_final=max(1, int(raw.get("numbers_of_Elements_to_consider_final", 5))), + geometric_passes_per_stage=max(1, int(raw.get("geometric_passes_per_stage", 2))), + root_pose_min_markers=max(1, int(raw.get("root_pose_min_markers", 2))), + use_marker_normals_flip_tiebreak=bool(raw.get("use_marker_normals_flip_tiebreak", True)), + normal_flip_weight=float(raw.get("normal_flip_weight", 0.05)), + ) + + +def parse_robot(robot_data: Dict[str, Any], length_scale: float) -> Tuple[Dict[str, LinkInfo], Dict[int, str], List[str]]: + links = robot_data.get("links", {}) or {} + link_infos: Dict[str, LinkInfo] = {} + marker_by_id: Dict[int, str] = {} + issues: List[str] = [] + + for link_name, link_data in links.items(): + parent = link_data.get("parent", None) + + joint = link_data.get("jointToParent", {}) or {} + joint_type = str(joint.get("type", "")).strip().lower() + axis = joint.get("axis", None) + joint_axis = None + if axis is not None: + axis_arr = np.asarray(axis, dtype=np.float64) + if safe_norm(axis_arr) > 1e-12: + joint_axis = normalize(axis_arr) + + joint_variable = joint.get("variable", None) + joint_origin_m = np.asarray(joint.get("origin", [0, 0, 0]), dtype=np.float64) * float(length_scale) + joint_rotation_deg = np.asarray(joint.get("rotation", [0, 0, 0]), dtype=np.float64) + + mount_position_m = np.asarray(link_data.get("mountPosition", [0, 0, 0]), dtype=np.float64) * float(length_scale) + mount_rotation_deg = np.asarray(link_data.get("mountRotation", [0, 0, 0]), dtype=np.float64) + + markers: List[MarkerInfo] = [] + seen_local: set[int] = set() + for idx, marker in enumerate(link_data.get("markers", []) or []): + marker_id = int(marker.get("id", -1)) + pos = marker.get("position", None) + if marker_id < 0 or pos is None or len(pos) != 3: + issues.append(f"[WARN] link={link_name}: skipped invalid marker entry at index {idx}") + continue + if marker_id in seen_local: + issues.append(f"[WARN] link={link_name}: duplicate marker id {marker_id} inside same link -> skipped") + continue + if marker_id in marker_by_id: + issues.append( + f"[WARN] marker id {marker_id} already assigned to link '{marker_by_id[marker_id]}', " + f"duplicate in link '{link_name}' -> skipped" + ) + continue + + seen_local.add(marker_id) + marker_by_id[marker_id] = link_name + markers.append( + MarkerInfo( + marker_id=marker_id, + name=str(marker.get("name", f"aruco_{marker_id}")), + local_pos_m=np.asarray(pos, dtype=np.float64) * float(length_scale), + local_normal=normalize(np.asarray(marker.get("normal", [0, 0, 1]), dtype=np.float64)), + size=marker.get("size", None), + spin=marker.get("spin", None), + link_name=link_name, + ) + ) + + link_infos[link_name] = LinkInfo( + name=link_name, + parent=parent, + joint_type=joint_type, + joint_axis=joint_axis, + joint_variable=joint_variable, + joint_origin_m=joint_origin_m, + joint_rotation_deg=joint_rotation_deg, + mount_position_m=mount_position_m, + mount_rotation_deg=mount_rotation_deg, + markers=markers, + ) + + return link_infos, marker_by_id, issues + + +def topological_links(link_infos: Dict[str, LinkInfo]) -> List[str]: + roots = [ln for ln, li in link_infos.items() if li.parent is None] + if not roots: + return [] + root = roots[0] + + children: Dict[str, List[str]] = {ln: [] for ln in link_infos} + for ln, li in link_infos.items(): + if li.parent is not None and li.parent in children: + children[li.parent].append(ln) + + order: List[str] = [] + queue = [root] + while queue: + cur = queue.pop(0) + if cur in order: + continue + order.append(cur) + for ch in children.get(cur, []): + queue.append(ch) + + # Append disconnected subtrees if any. + for ln in link_infos: + if ln not in order: + order.append(ln) + + return order + + +def compute_children_map(link_infos: Dict[str, LinkInfo]) -> Dict[str, List[str]]: + children: Dict[str, List[str]] = {ln: [] for ln in link_infos} + for ln, li in link_infos.items(): + if li.parent is not None and li.parent in children: + children[li.parent].append(ln) + return children + + +def subtree_links(link_name: str, children_map: Dict[str, List[str]], active_links: set[str]) -> List[str]: + out: List[str] = [] + queue = [link_name] + while queue: + cur = queue.pop(0) + if cur not in active_links: + continue + out.append(cur) + for ch in children_map.get(cur, []): + if ch in active_links: + queue.append(ch) + return out + + +def marker_ids_in_links(link_infos: Dict[str, LinkInfo], links: List[str]) -> List[int]: + ids: List[int] = [] + for link_name in links: + for m in link_infos[link_name].markers: + ids.append(m.marker_id) + return ids + + +# ============================================================================= +# Observations +# ============================================================================= + +def load_observed_markers(optimized_markers_file: str) -> Dict[int, Dict[str, Any]]: + data = load_json(optimized_markers_file) + if isinstance(data, dict): + markers = data.get("markers", []) or [] + elif isinstance(data, list): + markers = data + else: + markers = [] + + observed: Dict[int, Dict[str, Any]] = {} + for m in markers: + if not isinstance(m, dict) or "marker_id" not in m: + continue + marker_id = int(m["marker_id"]) + pos = m.get("position_m", None) + if pos is None or len(pos) != 3: + continue + obs = dict(m) + obs["marker_id"] = marker_id + obs["position_m"] = np.asarray(pos, dtype=np.float64) + observed[marker_id] = obs + return observed + + +def active_observations_for_links( + observed_markers: Dict[int, Dict[str, Any]], + link_infos: Dict[str, LinkInfo], + active_links: set[str], +) -> Dict[int, Dict[str, Any]]: + out: Dict[int, Dict[str, Any]] = {} + for marker_id, obs in observed_markers.items(): + link = obs.get("link", None) + if link is None or link == "unknown": + continue + if link not in active_links: + continue + if link not in link_infos: + continue + out[marker_id] = obs + return out + + +# ============================================================================= +# Forward kinematics +# ============================================================================= + +def link_static_transform(link: LinkInfo) -> np.ndarray: + Rm = rotation_matrix_xyz(*link.mount_rotation_deg, degrees=True) + return make_transform(Rm, link.mount_position_m) + + +def joint_motion_transform(link: LinkInfo, q_value: float) -> np.ndarray: + joint_type = (link.joint_type or "").strip().lower() + if link.joint_axis is None: + return np.eye(4, dtype=np.float64) + + axis = normalize(link.joint_axis) + if joint_type == "linear": + return make_transform(np.eye(3), axis * float(q_value)) + if joint_type == "revolute": + return make_transform(axis_angle_rotation(axis, float(q_value)), np.zeros(3)) + return np.eye(4, dtype=np.float64) + + +def world_to_link_transform( + link_name: str, + link_infos: Dict[str, LinkInfo], + state: Dict[str, Any], + cache: Dict[Tuple[str, Tuple[Tuple[str, float], ...]], np.ndarray], + joint_override: Optional[Dict[str, float]] = None, +) -> np.ndarray: + override_items = tuple(sorted((joint_override or {}).items())) + cache_key = (link_name, override_items) + if cache_key in cache: + return cache[cache_key] + + link = link_infos[link_name] + if link.parent is None: + T = make_transform(state["root_R"], state["root_t"]) + cache[cache_key] = T + return T + + parent_T = world_to_link_transform(link.parent, link_infos, state, cache, joint_override=joint_override) + + # Parent -> joint origin + T = parent_T @ make_transform(np.eye(3), link.joint_origin_m) + + # Joint motion + joint_values = state["joint_values"] + q = joint_override.get(link.name, joint_values.get(link.joint_variable, 0.0)) if joint_override else joint_values.get(link.joint_variable, 0.0) + T = T @ joint_motion_transform(link, q) + + # Static rotation after the joint + R_static = rotation_matrix_xyz(*link.joint_rotation_deg, degrees=True) + T = T @ make_transform(R_static, np.zeros(3)) + + # Mount transform / link-local offset + T = T @ link_static_transform(link) + + cache[cache_key] = T + return T + + +def predict_marker_positions( + link_infos: Dict[str, LinkInfo], + state: Dict[str, Any], + joint_override: Optional[Dict[str, float]] = None, + active_links: Optional[set[str]] = None, +) -> Dict[int, np.ndarray]: + pred: Dict[int, np.ndarray] = {} + cache: Dict[Tuple[str, Tuple[Tuple[str, float], ...]], np.ndarray] = {} + for link_name, link in link_infos.items(): + if active_links is not None and link_name not in active_links: + continue + T = world_to_link_transform(link_name, link_infos, state, cache, joint_override=joint_override) + for marker in link.markers: + pred[marker.marker_id] = transform_point(T, marker.local_pos_m) + return pred + + +def world_joint_axis_for_link( + link_name: str, + link_infos: Dict[str, LinkInfo], + state: Dict[str, Any], +) -> np.ndarray: + link = link_infos[link_name] + if link.parent is None or link.joint_axis is None: + return np.array([1.0, 0.0, 0.0], dtype=np.float64) + + cache: Dict[Tuple[str, Tuple[Tuple[str, float], ...]], np.ndarray] = {} + parent_T = world_to_link_transform(link.parent, link_infos, state, cache) + axis_world = transform_vector(parent_T, link.joint_axis) + return normalize(axis_world) + + +def world_joint_origin_for_link( + link_name: str, + link_infos: Dict[str, LinkInfo], + state: Dict[str, Any], +) -> np.ndarray: + link = link_infos[link_name] + if link.parent is None: + return np.asarray(state["root_t"], dtype=np.float64).copy() + + cache: Dict[Tuple[str, Tuple[Tuple[str, float], ...]], np.ndarray] = {} + parent_T = world_to_link_transform(link.parent, link_infos, state, cache) + return transform_point(parent_T, link.joint_origin_m) + + +# ============================================================================= +# Geometric estimation +# ============================================================================= + +def initial_root_pose( + root_link: LinkInfo, + observed_markers: Dict[int, Dict[str, Any]], + min_markers: int = 2, +) -> Tuple[np.ndarray, np.ndarray, Dict[str, Any]]: + P = [] + Q = [] + W = [] + matched = [] + + for marker in root_link.markers: + if marker.marker_id in observed_markers: + obs = np.asarray(observed_markers[marker.marker_id]["position_m"], dtype=np.float64) + P.append(marker.local_pos_m) + Q.append(obs) + W.append(marker_quality_weight(marker)) + matched.append(marker.marker_id) + + if len(P) >= min_markers: + R, t = kabsch(np.asarray(P), np.asarray(Q), np.asarray(W)) + return R, t, {"reason": "kabsch", "used_markers": matched} + + if len(P) >= 1: + marker = root_link.markers[0] + obs = np.asarray(observed_markers[marker.marker_id]["position_m"], dtype=np.float64) + return np.eye(3, dtype=np.float64), obs - marker.local_pos_m, {"reason": "single_marker_fallback", "used_markers": matched} + + return np.eye(3, dtype=np.float64), np.zeros(3, dtype=np.float64), {"reason": "no_root_markers"} + + +def estimate_linear_joint_value( + link_name: str, + link_infos: Dict[str, LinkInfo], + state: Dict[str, Any], + observed_markers: Dict[int, Dict[str, Any]], + active_links: set[str], + children_map: Dict[str, List[str]], +) -> Tuple[float, Dict[str, Any]]: + link = link_infos[link_name] + if link.joint_variable is None: + return 0.0, {"reason": "no_joint_variable"} + + subtree = subtree_links(link_name, children_map, active_links) + obs_ids = [mid for mid in marker_ids_in_links(link_infos, subtree) if mid in observed_markers] + if not obs_ids: + return float(state["joint_values"].get(link.joint_variable, 0.0)), {"reason": "no_observations"} + + axis_world = world_joint_axis_for_link(link_name, link_infos, state) + + pred0 = predict_marker_positions(link_infos, state, joint_override={link_name: 0.0}, active_links=active_links) + + num = 0.0 + den = 0.0 + per_marker = [] + for mid in obs_ids: + if mid not in pred0: + continue + marker = next((m for m in link_infos[observed_markers[mid]["link"]].markers if m.marker_id == mid), None) + w = marker_quality_weight(marker) if marker is not None else 1.0 + p_obs = np.asarray(observed_markers[mid]["position_m"], dtype=np.float64) + p0 = pred0[mid] + q_i = float(np.dot(axis_world, p_obs - p0)) + num += w * q_i + den += w + per_marker.append({"marker_id": mid, "q_i": q_i, "weight": w}) + + if den <= 1e-12: + return float(state["joint_values"].get(link.joint_variable, 0.0)), {"reason": "zero_weight"} + + q = num / den + return float(q), { + "reason": "weighted_projection", + "used_markers": len(per_marker), + "axis_world": [float(x) for x in axis_world], + "per_marker": per_marker, + } + + +def revolute_score_with_normals( + link_name: str, + q_value: float, + link_infos: Dict[str, LinkInfo], + state: Dict[str, Any], + observed_markers: Dict[int, Dict[str, Any]], + active_links: set[str], +) -> float: + """ + Weak tiebreak for q vs q + pi using marker normals. + Lower is better. + """ + link = link_infos[link_name] + if not link.markers: + return 0.0 + + pred = predict_marker_positions(link_infos, state, joint_override={link_name: q_value}, active_links=active_links) + T_link = world_to_link_transform(link_name, link_infos, state, cache={}, joint_override={link_name: q_value}) + R_link = T_link[:3, :3] + up = np.array([0.0, 0.0, 1.0], dtype=np.float64) + + score = 0.0 + for marker in link.markers: + if marker.marker_id not in observed_markers: + continue + if marker.local_normal is None: + continue + n_local = normalize(marker.local_normal) + if abs(n_local[2]) < 0.5: + continue + n_world = normalize(R_link @ n_local) + sign_pref = 1.0 if n_local[2] >= 0 else -1.0 + score += marker_quality_weight(marker) * (1.0 - sign_pref * float(np.dot(n_world, up))) + + return float(score) + + +def estimate_revolute_joint_value( + link_name: str, + link_infos: Dict[str, LinkInfo], + state: Dict[str, Any], + observed_markers: Dict[int, Dict[str, Any]], + active_links: set[str], + children_map: Dict[str, List[str]], + use_normal_tiebreak: bool = True, + normal_weight: float = 0.05, +) -> Tuple[float, Dict[str, Any]]: + link = link_infos[link_name] + if link.joint_variable is None: + return 0.0, {"reason": "no_joint_variable"} + + subtree = subtree_links(link_name, children_map, active_links) + obs_ids = [mid for mid in marker_ids_in_links(link_infos, subtree) if mid in observed_markers] + if not obs_ids: + return float(state["joint_values"].get(link.joint_variable, 0.0)), {"reason": "no_observations"} + + q0 = float(state["joint_values"].get(link.joint_variable, 0.0)) + + # Prediction with joint set to zero (only upstream geometry active). + pred0 = predict_marker_positions(link_infos, state, joint_override={link_name: 0.0}, active_links=active_links) + origin_world = world_joint_origin_for_link(link_name, link_infos, state) + axis_world = world_joint_axis_for_link(link_name, link_infos, state) + e1, e2, axis_id = plane_basis_for_axis(axis_world) + + S = 0.0 + C = 0.0 + used = 0 + per_marker = [] + + for mid in obs_ids: + if mid not in pred0: + continue + marker = next((m for m in link_infos[observed_markers[mid]["link"]].markers if m.marker_id == mid), None) + w = marker_quality_weight(marker) if marker is not None else 1.0 + + p_obs = np.asarray(observed_markers[mid]["position_m"], dtype=np.float64) + p0 = pred0[mid] + + u = project_to_plane(p0 - origin_world, axis_world) + v = project_to_plane(p_obs - origin_world, axis_world) + + u2 = np.array([np.dot(u, e1), np.dot(u, e2)], dtype=np.float64) + v2 = np.array([np.dot(v, e1), np.dot(v, e2)], dtype=np.float64) + + nu = float(np.linalg.norm(u2)) + nv = float(np.linalg.norm(v2)) + if nu <= 1e-9 or nv <= 1e-9: + continue + + S += w * float(u2[0] * v2[1] - u2[1] * v2[0]) + C += w * float(u2[0] * v2[0] + u2[1] * v2[1]) + used += 1 + per_marker.append({"marker_id": mid, "weight": w}) + + if used == 0: + return q0, {"reason": "no_valid_vectors"} + + theta = math.atan2(S, C) + theta_alt = wrap_angle_rad(theta + math.pi) + + # Evaluate both candidates deterministically, choose the better one. + def score_candidate(qcand: float) -> float: + pred = predict_marker_positions(link_infos, state, joint_override={link_name: qcand}, active_links=active_links) + err = 0.0 + for mid in obs_ids: + if mid not in pred: + continue + marker = next((m for m in link_infos[observed_markers[mid]["link"]].markers if m.marker_id == mid), None) + w = marker_quality_weight(marker) if marker is not None else 1.0 + p_obs = np.asarray(observed_markers[mid]["position_m"], dtype=np.float64) + d = pred[mid] - p_obs + err += w * float(np.dot(d, d)) + if use_normal_tiebreak: + err += normal_weight * revolute_score_with_normals(link_name, qcand, link_infos, state, observed_markers, active_links) + return float(err) + + score_theta = score_candidate(theta) + score_alt = score_candidate(theta_alt) + + best_q = theta if score_theta <= score_alt else theta_alt + best_score = min(score_theta, score_alt) + + return wrap_angle_rad(best_q), { + "reason": "2d_alignment" + ("+normal_tiebreak" if use_normal_tiebreak else ""), + "used_markers": used, + "axis_world": [float(x) for x in axis_world], + "axis_id": axis_id, + "theta_rad": float(theta), + "theta_alt_rad": float(theta_alt), + "score_theta": float(score_theta), + "score_theta_alt": float(score_alt), + "best_score": float(best_score), + "per_marker": per_marker, + } + + +def estimate_joint_geometrically( + link_name: str, + link_infos: Dict[str, LinkInfo], + state: Dict[str, Any], + observed_markers: Dict[int, Dict[str, Any]], + active_links: set[str], + children_map: Dict[str, List[str]], + params: StatePoseParams, +) -> Tuple[float, Dict[str, Any]]: + link = link_infos[link_name] + jt = (link.joint_type or "").strip().lower() + + if jt == "linear": + return estimate_linear_joint_value(link_name, link_infos, state, observed_markers, active_links, children_map) + if jt == "revolute": + return estimate_revolute_joint_value( + link_name, + link_infos, + state, + observed_markers, + active_links, + children_map, + use_normal_tiebreak=params.use_marker_normals_flip_tiebreak, + normal_weight=params.normal_flip_weight, + ) + + return float(state["joint_values"].get(link.joint_variable, 0.0)) if link.joint_variable else 0.0, {"reason": "unsupported_joint_type"} + + +# ============================================================================= +# Scoring / reporting +# ============================================================================= + +def build_state_template(link_infos: Dict[str, LinkInfo]) -> Dict[str, Any]: + return { + "root_R": np.eye(3, dtype=np.float64), + "root_t": np.zeros(3, dtype=np.float64), + "joint_values": {li.joint_variable: 0.0 for li in link_infos.values() if li.joint_variable}, + } + + +def copy_state(state: Dict[str, Any]) -> Dict[str, Any]: + return { + "root_R": np.asarray(state["root_R"], dtype=np.float64).copy(), + "root_t": np.asarray(state["root_t"], dtype=np.float64).copy(), + "joint_values": dict(state["joint_values"]), + } + + +def marker_error_report( + link_infos: Dict[str, LinkInfo], + state: Dict[str, Any], + observed_markers: Dict[int, Dict[str, Any]], + active_links: Optional[set[str]] = None, +) -> Tuple[List[Dict[str, Any]], Dict[str, Any]]: + pred = predict_marker_positions(link_infos, state, active_links=active_links) + marker_reports: List[Dict[str, Any]] = [] + errors = [] + + for marker_id, obs in observed_markers.items(): + if marker_id not in pred: + continue + p_obs = np.asarray(obs["position_m"], dtype=np.float64) + p_pred = pred[marker_id] + err = p_pred - p_obs + err_norm = float(np.linalg.norm(err)) + errors.append(err_norm) + marker_reports.append( + { + "marker_id": int(marker_id), + "link": obs.get("link", "unknown"), + "error_m": [float(x) for x in err], + "error_norm_m": err_norm, + "predicted_m": [float(x) for x in p_pred], + "observed_m": [float(x) for x in p_obs], + } + ) + + if errors: + arr = np.asarray(errors, dtype=np.float64) + stats = { + "num_markers_used": int(len(errors)), + "mean_error_m": float(np.mean(arr)), + "rms_error_m": float(math.sqrt(np.mean(arr ** 2))), + "median_error_m": float(np.median(arr)), + "worst_error_m": float(np.max(arr)), + } + else: + stats = { + "num_markers_used": 0, + "mean_error_m": None, + "rms_error_m": None, + "median_error_m": None, + "worst_error_m": None, + } + + return marker_reports, stats + + +def summarize_state(state: Dict[str, Any], link_infos: Dict[str, LinkInfo]) -> Dict[str, Any]: + movements: Dict[str, Any] = {} + for link_name, link in link_infos.items(): + q = state["joint_values"].get(link.joint_variable, None) if link.joint_variable else None + if q is None: + continue + jt = (link.joint_type or "").strip().lower() + if jt == "linear": + movements[link.joint_variable] = { + "value_m": float(q), + "value_mm": float(q * 1000.0), + "joint_type": jt, + "link": link_name, + } + elif jt == "revolute": + movements[link.joint_variable] = { + "value_rad": float(q), + "value_deg": float(math.degrees(q)), + "joint_type": jt, + "link": link_name, + } + else: + movements[link.joint_variable] = { + "value": float(q), + "joint_type": jt, + "link": link_name, + } + + root_R = np.asarray(state["root_R"], dtype=np.float64) + root_t = np.asarray(state["root_t"], dtype=np.float64) + return { + "root_pose": { + "translation_m": [float(x) for x in root_t], + "rotation_matrix": [[float(x) for x in row] for row in root_R], + "euler_xyz_deg": [float(x) for x in np.degrees(np.array([ + math.atan2(root_R[2, 1], root_R[2, 2]), + math.atan2(-root_R[2, 0], math.sqrt(root_R[0, 0] ** 2 + root_R[1, 0] ** 2)), + math.atan2(root_R[1, 0], root_R[0, 0]), + ]))], + }, + "movements": movements, + } + + +# ============================================================================= +# Sequential geometric estimation +# ============================================================================= + +def optimize_geometric_prefix( + link_infos: Dict[str, LinkInfo], + observed_markers: Dict[int, Dict[str, Any]], + initial_state: Dict[str, Any], + active_links: List[str], + params: StatePoseParams, +) -> Tuple[Dict[str, Any], Dict[str, Any]]: + active_set = set(active_links) + children_map = compute_children_map(link_infos) + stage_obs = active_observations_for_links(observed_markers, link_infos, active_set) + + state = copy_state(initial_state) + stage_info: Dict[str, Any] = { + "method": "deterministic_geometric_prefix", + "active_links": active_links, + "active_observations": len(stage_obs), + "joint_updates": [], + } + + root_link_name = next((ln for ln in active_links if link_infos[ln].parent is None), None) + if root_link_name is not None: + root_link = link_infos[root_link_name] + root_R, root_t, root_info = initial_root_pose(root_link, stage_obs, min_markers=params.root_pose_min_markers) + state["root_R"] = root_R + state["root_t"] = root_t + stage_info["root_link"] = root_link_name + stage_info["root_pose"] = root_info + + active_joint_links = [ln for ln in active_links if link_infos[ln].parent is not None] + + for pass_idx in range(params.geometric_passes_per_stage): + pass_updates = [] + for link_name in active_joint_links: + link = link_infos[link_name] + if not link.joint_variable: + continue + q_old = float(state["joint_values"].get(link.joint_variable, 0.0)) + q_new, info = estimate_joint_geometrically( + link_name, + link_infos, + state, + stage_obs, + active_set, + children_map, + params, + ) + state["joint_values"][link.joint_variable] = q_new + pass_updates.append( + { + "link": link_name, + "joint_variable": link.joint_variable, + "joint_type": link.joint_type, + "old": q_old, + "new": q_new, + "info": info, + } + ) + stage_info["joint_updates"].append({"pass": pass_idx, "updates": pass_updates}) + + marker_reports, stats = marker_error_report(link_infos, state, stage_obs, active_links=active_set) + stage_info["marker_stats"] = stats + stage_info["marker_reports"] = marker_reports[:] + + return state, stage_info + + +def sequential_geometric_estimation( + link_infos: Dict[str, LinkInfo], + observed_markers: Dict[int, Dict[str, Any]], + params: StatePoseParams, +) -> Tuple[Dict[str, Any], List[Dict[str, Any]]]: + ordered = topological_links(link_infos) + if not ordered: + return build_state_template(link_infos), [] + + start_n = max(1, min(int(params.numbers_of_elements_to_consider_start), len(ordered))) + final_n = max(start_n, min(int(params.numbers_of_elements_to_consider_final), len(ordered))) + + state = build_state_template(link_infos) + stage_reports: List[Dict[str, Any]] = [] + + for n in range(start_n, final_n + 1): + active_links = ordered[:n] + state, stage_info = optimize_geometric_prefix(link_infos, observed_markers, state, active_links, params) + stage_info["stage_idx"] = len(stage_reports) + stage_info["num_active_links"] = len(active_links) + stage_info["active_links"] = active_links + + stage_obs = active_observations_for_links(observed_markers, link_infos, set(active_links)) + marker_reports, stats = marker_error_report(link_infos, state, stage_obs, active_links=set(active_links)) + stage_info["marker_stats"] = stats + stage_info["marker_reports"] = marker_reports + stage_reports.append(stage_info) + + mean_mm = None if stats["mean_error_m"] is None else stats["mean_error_m"] * 1000.0 + print( + f"[INFO] Stage {stage_info['stage_idx']} | links={len(active_links)} | " + f"markers_used={stats['num_markers_used']} | " + f"mean_error={'n/a' if mean_mm is None else f'{mean_mm:.2f} mm'}" + ) + + return state, stage_reports + + +# ============================================================================= +# Serialization +# ============================================================================= + +def link_world_poses(link_infos: Dict[str, LinkInfo], state: Dict[str, Any]) -> Dict[str, Any]: + poses: Dict[str, Any] = {} + cache: Dict[Tuple[str, Tuple[Tuple[str, float], ...]], np.ndarray] = {} + for link_name in link_infos: + T = world_to_link_transform(link_name, link_infos, state, cache) + R = T[:3, :3] + t = T[:3, 3] + poses[link_name] = { + "translation_m": [float(x) for x in t], + "rotation_matrix": [[float(x) for x in row] for row in R], + } + return poses + + +def state_to_json( + state: Dict[str, Any], + link_infos: Dict[str, LinkInfo], + stage_reports: List[Dict[str, Any]], + observed_markers: Dict[int, Dict[str, Any]], +) -> Dict[str, Any]: + movements = summarize_state(state, link_infos)["movements"] + root_pose = summarize_state(state, link_infos)["root_pose"] + predicted = predict_marker_positions(link_infos, state) + + markers_out = [] + for marker_id, obs in sorted(observed_markers.items()): + entry = { + "marker_id": int(marker_id), + "link": obs.get("link", "unknown"), + "observed_position_m": [float(x) for x in np.asarray(obs["position_m"], dtype=np.float64)], + } + if marker_id in predicted: + entry["predicted_position_m"] = [float(x) for x in predicted[marker_id]] + err = predicted[marker_id] - np.asarray(obs["position_m"], dtype=np.float64) + entry["error_m"] = [float(x) for x in err] + entry["error_norm_m"] = float(np.linalg.norm(err)) + markers_out.append(entry) + + return { + "schema_version": "1.0", + "method": "deterministic_geometric_sequential_prefix", + "created_utc": time.strftime("%Y-%m-%dT%H:%M:%SZ", time.gmtime()), + "root_pose": root_pose, + "movements": movements, + "link_poses": link_world_poses(link_infos, state), + "stage_reports": stage_reports, + "markers": markers_out, + } + + +# ============================================================================= +# Main +# ============================================================================= + +def main() -> None: + parser = argparse.ArgumentParser( + description="Sequential deterministic geometric robot-state estimation from optimized ArUco marker positions" + ) + parser.add_argument("optimized_markers", help="aruco_positions_optimized*.json") + parser.add_argument("-robot", "--robot", required=True, help="robot.json") + parser.add_argument("-out", "--out", default=None, help="Output robot_state.json path") + parser.add_argument("--prefixStart", type=int, default=None, help="Override state_pose_params start") + parser.add_argument("--prefixFinal", type=int, default=None, help="Override state_pose_params final") + parser.add_argument("--passes", type=int, default=None, help="Override geometric passes per stage") + + args = parser.parse_args() + + print("[STEP 1] Load robot.json and optimized marker positions...") + robot_data = load_json(args.robot) + length_scale = get_length_scale(robot_data) + params = load_state_pose_params(robot_data) + + if args.prefixStart is not None: + params.numbers_of_elements_to_consider_start = max(1, int(args.prefixStart)) + if args.prefixFinal is not None: + params.numbers_of_elements_to_consider_final = max(1, int(args.prefixFinal)) + if args.passes is not None: + params.geometric_passes_per_stage = max(1, int(args.passes)) + + link_infos, marker_by_id, issues = parse_robot(robot_data, length_scale) + observed_map = load_observed_markers(args.optimized_markers) + + for issue in issues: + print(issue) + + print(f"[INFO] Links: {len(link_infos)}") + print(f"[INFO] Known robot markers: {len(marker_by_id)}") + print(f"[INFO] Observed optimized markers: {len(observed_map)}") + print( + f"[INFO] state_pose_params: start={params.numbers_of_elements_to_consider_start}, " + f"final={params.numbers_of_elements_to_consider_final}, " + f"passes={params.geometric_passes_per_stage}, " + f"normal_flip_tiebreak={params.use_marker_normals_flip_tiebreak}" + ) + + print("[STEP 2] Sequential geometric reconstruction...") + state, stage_reports = sequential_geometric_estimation(link_infos, observed_map, params) + + out_data = state_to_json(state, link_infos, stage_reports, observed_map) + + out_dir = os.path.dirname(resolve_path(args.out)) if args.out else os.path.dirname(resolve_path(args.optimized_markers)) + if not out_dir: + out_dir = "." + os.makedirs(out_dir, exist_ok=True) + + out_file = args.out or os.path.join(out_dir, "robot_state.json") + save_json(out_file, out_data) + + print(f"[INFO] Saved robot state to {out_file}") + + # Compact summary of the resulting movements + print("\n[INFO] Estimated movements:") + for key, info in out_data["movements"].items(): + if "value_mm" in info: + print(f" {key}: {info['value_mm']:.3f} mm ({info['link']}, {info['joint_type']})") + elif "value_deg" in info: + print(f" {key}: {info['value_deg']:.3f} deg ({info['link']}, {info['joint_type']})") + else: + print(f" {key}: {info.get('value', 0.0):.6f} ({info.get('link', 'unknown')}, {info.get('joint_type', 'unknown')})") + + +if __name__ == "__main__": + main() diff --git a/pipeline/9_poseEvaluation.py b/pipeline/9_poseEvaluation.py new file mode 100644 index 0000000..d7ab7bf --- /dev/null +++ b/pipeline/9_poseEvaluation.py @@ -0,0 +1,73 @@ +import json +import math +import argparse + +def calculate_distance(point1, point2): + """Berechnet den euklidischen Abstand zwischen zwei 3D-Punkten.""" + return math.sqrt(sum([(a - b) ** 2 for a, b in zip(point1, point2)])) + +def analyze_marker_detection(detected_markers_file, original_markers_file): + """Analysiert die Markererkennung und gibt Erkennungsrate und Genauigkeit aus.""" + + with open(detected_markers_file, 'r') as f: + detected_data = json.load(f) + + with open(original_markers_file, 'r') as f: + original_data = json.load(f) + + detected_marker_ids = {marker['marker_id'] for marker in detected_data['markers']} + original_marker_ids = {marker['id'] for marker in original_data} + + # Erkannte und nicht erkannte Marker + recognized_markers = len(detected_marker_ids.intersection(original_marker_ids)) + missing_markers = len(original_marker_ids.difference(detected_marker_ids)) + + # Distanzen berechnen + distances = [] + for original_marker in original_data: + marker_id = original_marker['id'] + + # Gefundener Marker suchen + detected_marker = next((m for m in detected_data['markers'] if m['marker_id'] == marker_id), None) + + if detected_marker: + distance = calculate_distance(original_marker['position_m'], detected_marker['position_m']) + distances.append(distance) + + if not distances: + print("Keine gemeinsamen Marker gefunden, um die Genauigkeit zu bewerten.") + return + + # Statistiken berechnen + distances.sort() + mean_distance = sum(distances) / len(distances) + + # 90%-Radius + n = len(distances) + index_90 = int(0.9 * n) - 1 + radius_90 = distances[index_90] + + # 80%-Radius + index_80 = int(0.8 * n) - 1 + radius_80 = distances[index_80] + + # Schlechtester Abstand + worst_distance = distances[-1] + + print(f"Erkannte Marker: {recognized_markers}") + print(f"Nicht erkannte Marker: {missing_markers}") + print(f"Gesamtzahl der Original-Marker: {len(original_marker_ids)}") + print(f"Erkennungsrate: {recognized_markers / len(original_marker_ids) * 100:.2f}%") + print(f"Gemittelter 3D-Abstand: {mean_distance:.4f}m") + print(f"90%-Radius: {radius_90:.4f}m") + print(f"80%-Radius: {radius_80:.4f}m") + print(f"Schlechtester Abstand: {worst_distance:.4f}m") + + +if __name__ == "__main__": + parser = argparse.ArgumentParser(description="Analysiert die Markererkennung.") + parser.add_argument("detected_file", help="Pfad zur JSON-Datei mit den erkannten Markern.") + parser.add_argument("original_file", help="Pfad zur JSON-Datei mit den originalen Markern.") + args = parser.parse_args() + + analyze_marker_detection(args.detected_file, args.original_file) \ No newline at end of file diff --git a/pipeline/aruco_positions_initial.json b/pipeline/aruco_positions_initial.json index aec87b2..2ad1968 100644 --- a/pipeline/aruco_positions_initial.json +++ b/pipeline/aruco_positions_initial.json @@ -1,11 +1,11 @@ { - "schema_version": "1.1", + "schema_version": "1.2", "stage": "initial_triangulation", - "created_utc": "2026-05-29T11:11:53Z", + "created_utc": "2026-05-29T17:30:29Z", "summary": { "num_cameras": 3, "num_markers": 8, - "num_constraints": 31 + "num_constraints": 25 }, "markers": [ { diff --git a/pipeline/aruco_positions_optimized.json b/pipeline/aruco_positions_optimized.json index db48fd3..d435c4f 100644 --- a/pipeline/aruco_positions_optimized.json +++ b/pipeline/aruco_positions_optimized.json @@ -1,121 +1,121 @@ { - "schema_version": "1.1", - "created_utc": "2026-05-29T11:11:54Z", + "schema_version": "1.2", + "created_utc": "2026-05-29T17:30:30Z", "summary": { "num_cameras": 3, "num_markers": 8, - "num_constraints": 31 + "num_constraints": 25 }, "markers": [ { "marker_id": 122, "position_m": [ - 0.17089422820567965, - -0.25275415672150703, - 0.17641525453920115 + 0.16408414603046484, + -0.2598816877789887, + 0.17784668754227578 ], "position_mm": [ - 170.89422820567964, - -252.75415672150703, - 176.41525453920116 + 164.08414603046484, + -259.8816877789887, + 177.8466875422758 ], "link": "Arm2" }, { "marker_id": 198, "position_m": [ - 0.0782893264155328, - -0.04392881888831051, - 0.12370444588754521 + 0.11704671868929717, + -0.05006352997427808, + 0.13545744846179997 ], "position_mm": [ - 78.2893264155328, - -43.92881888831051, - 123.70444588754522 + 117.04671868929717, + -50.063529974278076, + 135.45744846179997 ], "link": "Arm1" }, { "marker_id": 210, "position_m": [ - 0.09810874978803365, - 0.04840357531258377, - -0.061619957949719154 + 0.019883267288547467, + -0.019568887683375974, + -6.02159742251129e-05 ], "position_mm": [ - 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file mode 100644 index 0000000..a6e68b6 --- /dev/null +++ b/pipeline/aruco_positions_optimized_Set1_v1.json @@ -0,0 +1,95 @@ +{ + "schema_version": "1.0", + "created_utc": "2026-05-29T17:28:02Z", + "summary": { + "num_cameras": 2, + "num_markers": 6, + "num_constraints": 124 + }, + "markers": [ + { + "marker_id": 101, + "position_m": [ + 0.2763032509383358, + -0.2695119989339591, + 0.20699150350169354 + ], + "position_mm": [ + 276.3032509383358, + -269.5119989339591, + 206.99150350169353 + ], + "link": "Arm2" + }, + { + "marker_id": 124, + "position_m": [ + 0.2793537536854657, + -0.19507589060009986, + 0.20575080844610052 + ], + "position_mm": [ + 279.35375368546573, + -195.07589060009985, + 205.75080844610054 + ], + "link": "Arm2" + }, + { + "marker_id": 211, + "position_m": [ + 0.2504668030892929, + -0.009744842404164922, + 0.00036153034259814553 + ], + "position_mm": [ + 250.4668030892929, + -9.744842404164922, + 0.36153034259814554 + ], + "link": "Board" + }, + { + "marker_id": 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"2026-05-29T17:27:22Z", + "summary": { + "num_cameras": 2, + "num_markers": 6, + "num_constraints": 25 + }, + "markers": [ + { + "marker_id": 101, + "position_m": [ + 0.27925522736880354, + -0.26810432660177613, + 0.20675746626010996 + ], + "position_mm": [ + 279.25522736880356, + -268.1043266017761, + 206.75746626010996 + ], + "link": "Arm2" + }, + { + "marker_id": 124, + "position_m": [ + 0.27817972721745543, + -0.198693114830424, + 0.20728978938475356 + ], + "position_mm": [ + 278.1797272174554, + -198.693114830424, + 207.28978938475356 + ], + "link": "Arm2" + }, + { + "marker_id": 211, + "position_m": [ + 0.25188564339287434, + -0.009996760415642205, + 8.624190819127337e-06 + ], + "position_mm": [ + 251.88564339287433, + -9.996760415642205, + 0.008624190819127337 + ], + "link": "Board" + }, + { + "marker_id": 215, + "position_m": [ + 0.24918266331600872, + -0.08994956851968179, + 0.0004979860645055631 + ], + "position_mm": [ + 249.18266331600873, + -89.94956851968179, + 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